diff --git a/README.md b/README.md index b885716..e367244 100644 --- a/README.md +++ b/README.md @@ -16,7 +16,7 @@ The easiest way in is the site, which tells the story with pictures you can play **The share of speed you actually get is the one people underestimate.** The spec sheet number is a ceiling. Meta reports about 40 percent for Llama 3, and that counts as good. -**Electricity is a small slice.** For a 7 billion parameter model trained on 2 trillion tokens on 1,024 H100s, power and cooling come to about 6 percent of the cost. The rest is expensive hardware gradually becoming old hardware. +**Electricity is a small slice, though not as small as I first wrote.** For a 7 billion parameter model trained on 2 trillion tokens on 1,024 H100s, power and cooling come to about 7.4 percent of the cost. Earlier versions of this page said about 6 percent; an audit against 2026 prices, measured server power and a separate term for the building moved it ([what changed and why](experiments/e003-heatwave/cost_audit/CORRECTION.md)). At the industrial electricity prices of different places, with the calculator's other defaults (5.5-year server life, PUE 1.2), the same run ranges from about 5 percent (New Mexico average) to about 16 percent (California average). The rest is expensive hardware gradually becoming old hardware. **How the chip is made doesn't change the bill.** The map once went down to lithography, atoms and even quarks. All of it reaches the cost through one number, how fast the GPU is, and that number is already on the spec sheet. I removed the quarks and kept a short layer on how chips are printed. @@ -33,14 +33,14 @@ gpu-stack estimate --params 7e9 --tokens 2e12 --gpu H100-SXM --gpus 1024 ```text 7 billion parameters, 2 trillion tokens, 1,024 x H100-SXM -(MFU 40%, PUE 1.2, electricity $0.0813/kWh) +(MFU 40%, PUE 1.2, electricity $0.0851/kWh) Training time 2.4 days GPU-hours 58,958 - Energy 49.5 MWh - Electricity cost $4,026 - Hardware cost (amortized) $67,090 - Total cost $71,116 - Cost per million tokens $0.0356 + Energy 67.8 MWh + Electricity cost $5,766 + Hardware cost (amortized) $71,910 + Total cost $77,675 + Cost per million tokens $0.0388 ``` Add `--explain` to see what each number is made of, down to the equation, and whether each input was something you entered, a cited hardware spec, or an assumption. The same from Python: @@ -78,40 +78,40 @@ I built this with AI coding agents. They write quickly, and they grade their own ```text Registry stats: - systems 16 - variables 1267 + systems 17 + variables 1319 constants 18 - equations 701 - root_inputs 583 - leaves 241 + equations 735 + root_inputs 604 + leaves 252 Coverage: - non_constant_variables 1249 - with_sp_units 1249 - with_references 1249 - equations 701 - equations_with_references 701 - equations_with_unit_check 642 + non_constant_variables 1301 + with_sp_units 1301 + with_references 1301 + equations 735 + equations_with_references 735 + equations_with_unit_check 672 ``` ## Current Snapshot | Signal | Value | |---|---:| -| Systems | 16 | -| Variables | 1267 | +| Systems | 17 | +| Variables | 1319 | | Constants | 18 | -| Equations | 701 | -| Root inputs | 583 | -| Leaves | 241 | +| Equations | 735 | +| Root inputs | 604 | +| Leaves | 252 | | Cycles | 0 | -| Topological order length | 1267 | +| Topological order length | 1319 | | Hard audit failures | 0 | -| Non-constant variables with `sp_units` | 1249 | -| Non-constant variables with references | 1249 | -| Equations with references | 701 | -| Equations with unit checks | 642 | -| Root-debt families | 142 | +| Non-constant variables with `sp_units` | 1301 | +| Non-constant variables with references | 1301 | +| Equations with references | 735 | +| Equations with unit checks | 672 | +| Root-debt families | 146 | | Package version | 0.27.0 | diff --git a/docs/app.js b/docs/app.js index 804fc5b..f043137 100644 --- a/docs/app.js +++ b/docs/app.js @@ -1,4 +1,4 @@ -// CuperOS desktop: two windows (Story, Calculator) and a link to the Lab. +// CuperOS desktop: three windows (Story, Calculator, Heatwave) and a link to the Lab. // On phones the windows become plain full-width pages with a tab bar on top. (() => { "use strict"; @@ -31,6 +31,16 @@ } } + function mountHeatwave() { + const root = document.getElementById("heatwave-root"); + if (!root || root.dataset.mounted) return; + const api = window.GPUStackHeatwave; + if (api && typeof api.mount === "function") { + root.dataset.mounted = "1"; + api.mount(root); + } + } + function refresh() { tasks.forEach((button) => { const name = button.dataset.task; @@ -57,6 +67,7 @@ zCounter += 1; node.style.zIndex = String(zCounter); if (name === "calculator") mountCalculator(); + if (name === "heatwave") mountHeatwave(); refresh(); if (options.updateHash !== false && window.history && window.history.replaceState) { const hash = name === "story" && !window.location.hash ? "" : `#${name}`; @@ -118,7 +129,7 @@ } else { windows.story.hidden = false; open("story", { updateHash: false }); - if (wanted === "calculator") open("calculator", { updateHash: false }); + if (wanted === "calculator" || wanted === "heatwave") open(wanted, { updateHash: false }); } refresh(); } diff --git a/docs/data/calculator-model.json b/docs/data/calculator-model.json index 7c6f461..c63f466 100644 --- a/docs/data/calculator-model.json +++ b/docs/data/calculator-model.json @@ -88,9 +88,9 @@ "id": "electricity_price", "label": "Electricity price", "unit": "USD/kWh", - "default": 0.0813, + "default": 0.0851, "tag": "assumption", - "tooltip": "What one kilowatt-hour costs. Default is the 2024 U.S. industrial average (EIA).", + "tooltip": "What one kilowatt-hour costs. Default is the 2025 U.S. industrial average (EIA), which already includes the utility's delivery and demand charges.", "advanced": true, "min": 0.0, "max": 2.0 @@ -110,9 +110,9 @@ "id": "useful_life_years", "label": "Years of use before replacement", "unit": "years", - "default": 4.0, + "default": 5.5, "tag": "assumption", - "tooltip": "The hardware's price is spread over this many years. Longer life means cheaper hours.", + "tooltip": "The servers' price is spread over this many years. Default 5.5 is the median of the lives eight operators report for servers (4 to 6 years). The building is spread over 13 years separately. Longer life means cheaper hours.", "advanced": true, "min": 0.5, "max": 15.0 @@ -130,11 +130,11 @@ }, { "id": "other_hardware_fraction", - "label": "Servers, network and building, as a share of GPU price", + "label": "Servers, network and storage, as a share of GPU price", "unit": "fraction", - "default": 0.4, + "default": 0.49, "tag": "assumption", - "tooltip": "Each GPU needs a server, network and space. Default 40% follows the repo's DGX H100 cost preset: server parts about 18% of the GPU price, rack about 5%, building power and cooling about 19%.", + "tooltip": "Each GPU needs a server, network and storage. Default 49%: the non-GPU part of an H100 server (about $7,400 per GPU), plus network ($7,500 per GPU) and other cluster hardware ($3,500 per GPU) for a 24,576-GPU H100 cluster, over a $37,500 card. The building, power and cooling are charged separately.", "advanced": true, "min": 0.0, "max": 3.0 @@ -154,9 +154,9 @@ "id": "server_power_fraction", "label": "Extra server power (CPUs, fans, network)", "unit": "fraction of GPU power", - "default": 0.25, + "default": 0.71, "tag": "assumption", - "tooltip": "Power drawn by the rest of the server, as a share of the GPUs' own power.", + "tooltip": "Power drawn by the rest of the server, as a share of the GPUs' own power. Default 71% makes an 8-GPU H100 node draw 7.7 kW (median 7.67 kW), the measured average during LLM training (the node is rated 10.2 kW).", "advanced": true, "min": 0.0, "max": 2.0 @@ -168,8 +168,8 @@ "peak_flops": 989400000000000.0, "tdp_w": 700.0, "memory_gb": 80.0, - "price_usd": 30000.0, - "price_note": "2024 channel range $27,000-$40,000 per card; $30,000 is the middle (repo DGX H100 preset).", + "price_usd": 37500.0, + "price_note": "2026 new-card range $35,000-$40,000 per card; $37,500 is the middle (IntuitionLabs, Data Center GPU Pricing 2026, accessed 2026-10-26).", "cite": "NVIDIA H100 product page, H100 SXM: BFLOAT16 Tensor Core 1,979 teraFLOPS with sparsity (dense is half, 989.4 teraFLOPS); Max TDP up to 700W; 80 GB memory." }, "A100-80GB-SXM": { @@ -177,8 +177,8 @@ "peak_flops": 312000000000000.0, "tdp_w": 400.0, "memory_gb": 80.0, - "price_usd": 15000.0, - "price_note": "Rough assumption, no citation.", + "price_usd": 12500.0, + "price_note": "New-card range $10,000-$15,000 per card; $12,500 is the middle (Jarvislabs, A100 price, March 2026 snapshot, accessed 2026-10-26).", "cite": "NVIDIA A100 datasheet, 80GB SXM: BFLOAT16 Tensor Core 312 TFLOPS (624 with sparsity); Max TDP SXM 400W; 80 GB memory." } }, @@ -1477,8 +1477,7 @@ "tooltip": "The share of the hardware's price used up during this run.", "expr": [ "mul", - -1.9012852688417367e-07, - "gpu_price", + -6.0, "params", "tokens", [ @@ -1498,24 +1497,45 @@ ], [ "add", - 1.0, - "other_hardware_fraction" - ], - [ - "add", - -1.0, - "residual_fraction" + [ + "mul", + 3.168808781402895e-08, + "gpu_price", + [ + "add", + 1.0, + "other_hardware_fraction" + ], + [ + "add", + -1.0, + "residual_fraction" + ] + ], + [ + "mul", + -2.7544260946040552e-08, + "tdp_w", + "useful_life_years", + [ + "add", + 1.0, + "server_power_fraction" + ] + ] ] ], "inputs": [ "params", "tokens", "peak_flops", + "tdp_w", "mfu", "gpu_price", "useful_life_years", "residual_fraction", - "other_hardware_fraction" + "other_hardware_fraction", + "server_power_fraction" ], "chain": [ { @@ -1537,7 +1557,7 @@ }, { "variable": "econ.asset.useful_life", - "label": "Hardware life in seconds", + "label": "Server life in seconds", "formula": "years of use x 31,557,600", "unit": "s", "kind": "setting", @@ -1550,7 +1570,7 @@ }, { "variable": "econ.gpu.hourly_amortized", - "label": "Hardware cost per GPU per second", + "label": "GPU, server and network cost per GPU per second", "formula": "(price - resale value) / years of use", "unit": "USD/s", "kind": "graph equation", @@ -1580,6 +1600,51 @@ ] ] }, + { + "variable": "econ.cluster.facility_capex", + "label": "Building, power and cooling cost per GPU", + "formula": "facility USD per W x chip power rating x (1 + extra server power)", + "unit": "USD", + "kind": "setting", + "equation": null, + "expr": [ + "mul", + 11.3, + "tdp_w", + [ + "add", + 1.0, + "server_power_fraction" + ] + ] + }, + { + "variable": "econ.facility.useful_life", + "label": "Building life in seconds", + "formula": "13 years x 31,557,600", + "unit": "s", + "kind": "setting", + "equation": null, + "expr": 410248800.0 + }, + { + "variable": "econ.cluster.facility_capex_rate", + "label": "Building, power and cooling cost per GPU per second", + "formula": "facility cost per GPU / facility life", + "unit": "USD/s", + "kind": "graph equation", + "equation": "econ.eq.cluster_facility_capex_rate", + "expr": [ + "mul", + 2.7544260946040552e-08, + "tdp_w", + [ + "add", + 1.0, + "server_power_fraction" + ] + ] + }, { "variable": "gpu.peak_flops_power_limited", "label": "Speed achieved per GPU", @@ -1596,32 +1661,48 @@ { "variable": "econ.job.capex_rate", "label": "Hardware cost per second for all GPUs", - "formula": "number of GPUs x hardware cost per GPU per second", + "formula": "number of GPUs x (server cost + building cost) per GPU per second", "unit": "USD/s", "kind": "setting", "equation": null, "expr": [ "mul", - 3.168808781402895e-08, - "gpu_price", "n_gpus", - [ - "pow", - "useful_life_years", - -1.0 - ], [ "add", - 1.0, - "other_hardware_fraction" - ], - [ - "add", - 1.0, [ "mul", - -1.0, - "residual_fraction" + 2.7544260946040552e-08, + "tdp_w", + [ + "add", + 1.0, + "server_power_fraction" + ] + ], + [ + "mul", + 3.168808781402895e-08, + "gpu_price", + [ + "pow", + "useful_life_years", + -1.0 + ], + [ + "add", + 1.0, + "other_hardware_fraction" + ], + [ + "add", + 1.0, + [ + "mul", + -1.0, + "residual_fraction" + ] + ] ] ] ] @@ -1852,8 +1933,7 @@ "equation": "econ.eq.run_hw_cost", "expr": [ "mul", - -1.9012852688417367e-07, - "gpu_price", + -6.0, "params", "tokens", [ @@ -1873,13 +1953,32 @@ ], [ "add", - 1.0, - "other_hardware_fraction" - ], - [ - "add", - -1.0, - "residual_fraction" + [ + "mul", + 3.168808781402895e-08, + "gpu_price", + [ + "add", + 1.0, + "other_hardware_fraction" + ], + [ + "add", + -1.0, + "residual_fraction" + ] + ], + [ + "mul", + -2.7544260946040552e-08, + "tdp_w", + "useful_life_years", + [ + "add", + 1.0, + "server_power_fraction" + ] + ] ] ] } @@ -1913,7 +2012,18 @@ "add", [ "mul", - -0.1140771161305042, + 0.09915933940574599, + "tdp_w", + "useful_life_years", + [ + "add", + 1.0, + "server_power_fraction" + ] + ], + [ + "mul", + -0.11407711613050421, "gpu_price", [ "add", @@ -1976,7 +2086,7 @@ }, { "variable": "econ.asset.useful_life", - "label": "Hardware life in seconds", + "label": "Server life in seconds", "formula": "years of use x 31,557,600", "unit": "s", "kind": "setting", @@ -1989,7 +2099,7 @@ }, { "variable": "econ.gpu.hourly_amortized", - "label": "Hardware cost per GPU per second", + "label": "GPU, server and network cost per GPU per second", "formula": "(price - resale value) / years of use", "unit": "USD/s", "kind": "graph equation", @@ -2019,6 +2129,51 @@ ] ] }, + { + "variable": "econ.cluster.facility_capex", + "label": "Building, power and cooling cost per GPU", + "formula": "facility USD per W x chip power rating x (1 + extra server power)", + "unit": "USD", + "kind": "setting", + "equation": null, + "expr": [ + "mul", + 11.3, + "tdp_w", + [ + "add", + 1.0, + "server_power_fraction" + ] + ] + }, + { + "variable": "econ.facility.useful_life", + "label": "Building life in seconds", + "formula": "13 years x 31,557,600", + "unit": "s", + "kind": "setting", + "equation": null, + "expr": 410248800.0 + }, + { + "variable": "econ.cluster.facility_capex_rate", + "label": "Building, power and cooling cost per GPU per second", + "formula": "facility cost per GPU / facility life", + "unit": "USD/s", + "kind": "graph equation", + "equation": "econ.eq.cluster_facility_capex_rate", + "expr": [ + "mul", + 2.7544260946040552e-08, + "tdp_w", + [ + "add", + 1.0, + "server_power_fraction" + ] + ] + }, { "variable": "gpu.peak_flops_power_limited", "label": "Speed achieved per GPU", @@ -2055,32 +2210,48 @@ { "variable": "econ.job.capex_rate", "label": "Hardware cost per second for all GPUs", - "formula": "number of GPUs x hardware cost per GPU per second", + "formula": "number of GPUs x (server cost + building cost) per GPU per second", "unit": "USD/s", "kind": "setting", "equation": null, "expr": [ "mul", - 3.168808781402895e-08, - "gpu_price", "n_gpus", - [ - "pow", - "useful_life_years", - -1.0 - ], - [ - "add", - 1.0, - "other_hardware_fraction" - ], [ "add", - 1.0, [ "mul", - -1.0, - "residual_fraction" + 2.7544260946040552e-08, + "tdp_w", + [ + "add", + 1.0, + "server_power_fraction" + ] + ], + [ + "mul", + 3.168808781402895e-08, + "gpu_price", + [ + "pow", + "useful_life_years", + -1.0 + ], + [ + "add", + 1.0, + "other_hardware_fraction" + ], + [ + "add", + 1.0, + [ + "mul", + -1.0, + "residual_fraction" + ] + ] ] ] ] @@ -2386,8 +2557,7 @@ "equation": "econ.eq.run_hw_cost", "expr": [ "mul", - -1.9012852688417367e-07, - "gpu_price", + -6.0, "params", "tokens", [ @@ -2407,13 +2577,32 @@ ], [ "add", - 1.0, - "other_hardware_fraction" - ], - [ - "add", - -1.0, - "residual_fraction" + [ + "mul", + 3.168808781402895e-08, + "gpu_price", + [ + "add", + 1.0, + "other_hardware_fraction" + ], + [ + "add", + -1.0, + "residual_fraction" + ] + ], + [ + "mul", + -2.7544260946040552e-08, + "tdp_w", + "useful_life_years", + [ + "add", + 1.0, + "server_power_fraction" + ] + ] ] ] }, @@ -2448,7 +2637,18 @@ "add", [ "mul", - -0.1140771161305042, + 0.09915933940574599, + "tdp_w", + "useful_life_years", + [ + "add", + 1.0, + "server_power_fraction" + ] + ], + [ + "mul", + -0.11407711613050421, "gpu_price", [ "add", @@ -2506,7 +2706,18 @@ "add", [ "mul", - -0.1140771161305042, + 0.09915933940574599, + "tdp_w", + "useful_life_years", + [ + "add", + 1.0, + "server_power_fraction" + ] + ], + [ + "mul", + -0.11407711613050421, "gpu_price", [ "add", @@ -2568,7 +2779,7 @@ }, { "variable": "econ.asset.useful_life", - "label": "Hardware life in seconds", + "label": "Server life in seconds", "formula": "years of use x 31,557,600", "unit": "s", "kind": "setting", @@ -2581,7 +2792,7 @@ }, { "variable": "econ.gpu.hourly_amortized", - "label": "Hardware cost per GPU per second", + "label": "GPU, server and network cost per GPU per second", "formula": "(price - resale value) / years of use", "unit": "USD/s", "kind": "graph equation", @@ -2611,6 +2822,51 @@ ] ] }, + { + "variable": "econ.cluster.facility_capex", + "label": "Building, power and cooling cost per GPU", + "formula": "facility USD per W x chip power rating x (1 + extra server power)", + "unit": "USD", + "kind": "setting", + "equation": null, + "expr": [ + "mul", + 11.3, + "tdp_w", + [ + "add", + 1.0, + "server_power_fraction" + ] + ] + }, + { + "variable": "econ.facility.useful_life", + "label": "Building life in seconds", + "formula": "13 years x 31,557,600", + "unit": "s", + "kind": "setting", + "equation": null, + "expr": 410248800.0 + }, + { + "variable": "econ.cluster.facility_capex_rate", + "label": "Building, power and cooling cost per GPU per second", + "formula": "facility cost per GPU / facility life", + "unit": "USD/s", + "kind": "graph equation", + "equation": "econ.eq.cluster_facility_capex_rate", + "expr": [ + "mul", + 2.7544260946040552e-08, + "tdp_w", + [ + "add", + 1.0, + "server_power_fraction" + ] + ] + }, { "variable": "gpu.peak_flops_power_limited", "label": "Speed achieved per GPU", @@ -2647,32 +2903,48 @@ { "variable": "econ.job.capex_rate", "label": "Hardware cost per second for all GPUs", - "formula": "number of GPUs x hardware cost per GPU per second", + "formula": "number of GPUs x (server cost + building cost) per GPU per second", "unit": "USD/s", "kind": "setting", "equation": null, "expr": [ "mul", - 3.168808781402895e-08, - "gpu_price", "n_gpus", - [ - "pow", - "useful_life_years", - -1.0 - ], [ "add", - 1.0, - "other_hardware_fraction" - ], - [ - "add", - 1.0, [ "mul", - -1.0, - "residual_fraction" + 2.7544260946040552e-08, + "tdp_w", + [ + "add", + 1.0, + "server_power_fraction" + ] + ], + [ + "mul", + 3.168808781402895e-08, + "gpu_price", + [ + "pow", + "useful_life_years", + -1.0 + ], + [ + "add", + 1.0, + "other_hardware_fraction" + ], + [ + "add", + 1.0, + [ + "mul", + -1.0, + "residual_fraction" + ] + ] ] ] ] @@ -2978,8 +3250,7 @@ "equation": "econ.eq.run_hw_cost", "expr": [ "mul", - -1.9012852688417367e-07, - "gpu_price", + -6.0, "params", "tokens", [ @@ -2999,13 +3270,32 @@ ], [ "add", - 1.0, - "other_hardware_fraction" - ], - [ - "add", - -1.0, - "residual_fraction" + [ + "mul", + 3.168808781402895e-08, + "gpu_price", + [ + "add", + 1.0, + "other_hardware_fraction" + ], + [ + "add", + -1.0, + "residual_fraction" + ] + ], + [ + "mul", + -2.7544260946040552e-08, + "tdp_w", + "useful_life_years", + [ + "add", + 1.0, + "server_power_fraction" + ] + ] ] ] }, @@ -3040,7 +3330,18 @@ "add", [ "mul", - -0.1140771161305042, + 0.09915933940574599, + "tdp_w", + "useful_life_years", + [ + "add", + 1.0, + "server_power_fraction" + ] + ], + [ + "mul", + -0.11407711613050421, "gpu_price", [ "add", @@ -3099,7 +3400,18 @@ "add", [ "mul", - -0.1140771161305042, + 0.09915933940574599, + "tdp_w", + "useful_life_years", + [ + "add", + 1.0, + "server_power_fraction" + ] + ], + [ + "mul", + -0.11407711613050421, "gpu_price", [ "add", @@ -3158,7 +3470,18 @@ "add", [ "mul", - -0.1140771161305042, + 0.09915933940574599, + "tdp_w", + "useful_life_years", + [ + "add", + 1.0, + "server_power_fraction" + ] + ], + [ + "mul", + -0.11407711613050421, "gpu_price", [ "add", @@ -3263,22 +3586,22 @@ "tdp_w": 700.0, "mfu": 0.4, "pue": 1.2, - "electricity_price": 0.0813, - "gpu_price": 30000.0, - "useful_life_years": 4.0, + "electricity_price": 0.0851, + "gpu_price": 37500.0, + "useful_life_years": 5.5, "residual_fraction": 0.05, - "other_hardware_fraction": 0.4, + "other_hardware_fraction": 0.49, "gpu_power_fraction": 0.8, - "server_power_fraction": 0.25 + "server_power_fraction": 0.71 }, "expected": { "training_days": 2.3990190112413807, "gpu_hours": 58958.291220268184, - "energy_mwh": 49.52496462502528, - "electricity_cost": 4026.3796240145543, - "hardware_cost": 67089.77354804653, - "total_cost": 71116.15317206085, - "cost_per_million_tokens": 0.035558076586030496 + "energy_mwh": 67.75015160703458, + "electricity_cost": 5765.53790175864, + "hardware_cost": 71909.51360337812, + "total_cost": 77675.05150513674, + "cost_per_million_tokens": 0.03883752575256845 } }, { @@ -3291,22 +3614,22 @@ "tdp_w": 400.0, "mfu": 0.5, "pue": 1.2, - "electricity_price": 0.0813, - "gpu_price": 15000.0, - "useful_life_years": 4.0, + "electricity_price": 0.0851, + "gpu_price": 12500.0, + "useful_life_years": 5.5, "residual_fraction": 0.05, - "other_hardware_fraction": 0.4, + "other_hardware_fraction": 0.49, "gpu_power_fraction": 0.8, - "server_power_fraction": 0.25 + "server_power_fraction": 0.71 }, "expected": { "training_days": 21.301443420584047, "gpu_hours": 1047008.5470085471, - "energy_mwh": 502.56410256410265, - "electricity_cost": 40858.46153846153, - "hardware_cost": 595705.5815885392, - "total_cost": 636564.0431269989, - "cost_per_million_tokens": 0.4546886022335715 + "energy_mwh": 687.5076923076924, + "electricity_cost": 58506.9046153846, + "hardware_cost": 455256.336482314, + "total_cost": 513763.24109769834, + "cost_per_million_tokens": 0.3669737436412138 } }, { @@ -3332,9 +3655,9 @@ "gpu_hours": 1263.3919547200323, "energy_mwh": 1.5520770163735598, "electricity_cost": 310.41540327471205, - "hardware_cost": 1513.3031627378919, - "total_cost": 1823.7185660125983, - "cost_per_million_tokens": 0.006079061886708674 + "hardware_cost": 1627.3053343308086, + "total_cost": 1937.7207376055196, + "cost_per_million_tokens": 0.006459069125351745 } } ] diff --git a/docs/data/drivers.json b/docs/data/drivers.json index 6b69057..e976099 100644 --- a/docs/data/drivers.json +++ b/docs/data/drivers.json @@ -4,29 +4,30 @@ "method": "Every input is varied between half and double its default (fractions are capped at 1). The share is how much of the spread in cost per token an input accounts for, counting its interactions, as a share of the total. The ranges are equal by design, so the ranking mostly reflects how directly each input enters the cost.", "sobol_rows": 32768, "n_inputs_varied": 53, - "n_inputs_in_formula": 64, + "n_inputs_in_formula": 65, "inputs_held_fixed": [ "cluster.node.n_gpus", "cluster.node.nic.power_per_port", "cluster.rack.n_nodes", "cluster.site.n_racks", "econ.carbon.price_per_tonne", + "econ.power.capacity_charge_kw_month", "econ.power.peak_energy_fraction", "thermal.facility.heat_reuse_fraction", "training.overhead_fraction", "training.t_exposed_comm", "training.t_mem_bound" ], - "nominal_cost_per_token_usd": 4.8309057089408637e-08, - "nominal_cost_per_million_tokens_usd": 0.048309057089408636, - "sum_of_total_order_indices": 1.001150414685651, - "stability_max_change_half_vs_full": 2.1023448679519108e-05, + "nominal_cost_per_token_usd": 4.467871585287424e-08, + "nominal_cost_per_million_tokens_usd": 0.044678715852874244, + "sum_of_total_order_indices": 1.0015000826029512, + "stability_max_change_half_vs_full": 1.900537894175547e-05, "top": [ { "variable": "chip_peak_flops", "label": "Chip speed on paper (which GPU you buy)", - "share": 0.22966414797427234, - "total_order_index": 0.22992835698286945, + "share": 0.23134806855745157, + "total_order_index": 0.23169510977032098, "explain": "A faster chip does the same arithmetic in less time, so each token uses less rented or owned time.", "range": [ 494700000000000.0, @@ -34,23 +35,11 @@ ], "nominal": 989400000000000.0 }, - { - "variable": "mfu", - "label": "GPU speed actually achieved (MFU)", - "share": 0.22966414797427187, - "total_order_index": 0.22992835698286898, - "explain": "The share of the chip's paper speed that real training reaches. Lower means more GPU time per token.", - "range": [ - 0.2, - 0.8 - ], - "nominal": 0.4 - }, { "variable": "arch.params_total_dense", "label": "Model size (number of parameters)", - "share": 0.2296641479742706, - "total_order_index": 0.2299283569828677, + "share": 0.23134806855745046, + "total_order_index": 0.23169510977031985, "explain": "Bigger models need proportionally more arithmetic for every token.", "range": [ 3370000000.0, @@ -58,11 +47,23 @@ ], "nominal": 6740000000.0 }, + { + "variable": "mfu", + "label": "GPU speed actually achieved (MFU)", + "share": 0.23134806855744994, + "total_order_index": 0.23169510977031932, + "explain": "The share of the chip's paper speed that real training reaches. Lower means more GPU time per token.", + "range": [ + 0.2, + 0.8 + ], + "nominal": 0.4 + }, { "variable": "econ.asset.useful_life", "label": "How long the hardware is used before replacement", - "share": 0.1502089086288699, - "total_order_index": 0.15038171116327215, + "share": 0.13258331935117962, + "total_order_index": 0.13278220528197984, "explain": "The same hardware price spread over more years makes every hour cheaper.", "range": [ 63115200.0, @@ -73,8 +74,8 @@ { "variable": "econ.gpu.capex", "label": "Price of one GPU", - "share": 0.07156322538984841, - "total_order_index": 0.07164555277528944, + "share": 0.08458097591272194, + "total_order_index": 0.08470785436322925, "explain": "Most of the bill is the hardware's price spread over the hours it runs.", "range": [ 15000.0, @@ -85,8 +86,8 @@ { "variable": "econ.cluster.utilization", "label": "Share of the time the cluster is kept busy", - "share": 0.06451158003977754, - "total_order_index": 0.06458579510884985, + "share": 0.06509826733753643, + "total_order_index": 0.06519592011585174, "explain": "Idle hardware still has to be paid for, so busy time is more expensive.", "range": [ 0.45, @@ -97,8 +98,8 @@ { "variable": "training.recompute_overhead", "label": "Extra work from re-computing results to save memory", - "share": 0.010762857091385823, - "total_order_index": 0.010775238840243315, + "share": 0.010841771439793571, + "total_order_index": 0.01085803499251558, "explain": "", "range": [ 1.0, @@ -109,8 +110,8 @@ { "variable": "training.cluster_availability", "label": "Share of time the cluster is up", - "share": 0.0031563866433257843, - "total_order_index": 0.0031600177968738588, + "share": 0.0031795295869852572, + "total_order_index": 0.0031842991440042623, "explain": "", "range": [ 0.85, @@ -123,8 +124,8 @@ { "variable": "chip_peak_flops", "label": "Chip speed on paper (which GPU you buy)", - "share": 0.22966414797427234, - "total_order_index": 0.22992835698286945, + "share": 0.23134806855745157, + "total_order_index": 0.23169510977032098, "explain": "A faster chip does the same arithmetic in less time, so each token uses less rented or owned time.", "range": [ 494700000000000.0, @@ -132,23 +133,11 @@ ], "nominal": 989400000000000.0 }, - { - "variable": "mfu", - "label": "GPU speed actually achieved (MFU)", - "share": 0.22966414797427187, - "total_order_index": 0.22992835698286898, - "explain": "The share of the chip's paper speed that real training reaches. Lower means more GPU time per token.", - "range": [ - 0.2, - 0.8 - ], - "nominal": 0.4 - }, { "variable": "arch.params_total_dense", "label": "Model size (number of parameters)", - "share": 0.2296641479742706, - "total_order_index": 0.2299283569828677, + "share": 0.23134806855745046, + "total_order_index": 0.23169510977031985, "explain": "Bigger models need proportionally more arithmetic for every token.", "range": [ 3370000000.0, @@ -156,11 +145,23 @@ ], "nominal": 6740000000.0 }, + { + "variable": "mfu", + "label": "GPU speed actually achieved (MFU)", + "share": 0.23134806855744994, + "total_order_index": 0.23169510977031932, + "explain": "The share of the chip's paper speed that real training reaches. Lower means more GPU time per token.", + "range": [ + 0.2, + 0.8 + ], + "nominal": 0.4 + }, { "variable": "econ.asset.useful_life", "label": "How long the hardware is used before replacement", - "share": 0.1502089086288699, - "total_order_index": 0.15038171116327215, + "share": 0.13258331935117962, + "total_order_index": 0.13278220528197984, "explain": "The same hardware price spread over more years makes every hour cheaper.", "range": [ 63115200.0, @@ -171,8 +172,8 @@ { "variable": "econ.gpu.capex", "label": "Price of one GPU", - "share": 0.07156322538984841, - "total_order_index": 0.07164555277528944, + "share": 0.08458097591272194, + "total_order_index": 0.08470785436322925, "explain": "Most of the bill is the hardware's price spread over the hours it runs.", "range": [ 15000.0, @@ -183,8 +184,8 @@ { "variable": "econ.cluster.utilization", "label": "Share of the time the cluster is kept busy", - "share": 0.06451158003977754, - "total_order_index": 0.06458579510884985, + "share": 0.06509826733753643, + "total_order_index": 0.06519592011585174, "explain": "Idle hardware still has to be paid for, so busy time is more expensive.", "range": [ 0.45, @@ -195,8 +196,8 @@ { "variable": "training.recompute_overhead", "label": "Extra work from re-computing results to save memory", - "share": 0.010762857091385823, - "total_order_index": 0.010775238840243315, + "share": 0.010841771439793571, + "total_order_index": 0.01085803499251558, "explain": "", "range": [ 1.0, @@ -207,8 +208,8 @@ { "variable": "training.cluster_availability", "label": "Share of time the cluster is up", - "share": 0.0031563866433257843, - "total_order_index": 0.0031600177968738588, + "share": 0.0031795295869852572, + "total_order_index": 0.0031842991440042623, "explain": "", "range": [ 0.85, @@ -219,8 +220,8 @@ { "variable": "econ.maintenance.fraction_per_year", "label": "Yearly maintenance as a share of hardware price", - "share": 0.001443715584346182, - "total_order_index": 0.001445376455956317, + "share": 0.0016704797237373163, + "total_order_index": 0.0016729855813094774, "explain": "", "range": [ 0.01, @@ -231,8 +232,8 @@ { "variable": "training.optimizer_flop_multiplier", "label": "Extra work done by the optimizer", - "share": 0.0010855775880556382, - "total_order_index": 0.001086826452455351, + "share": 0.0010935371518852122, + "total_order_index": 0.001095177547942436, "explain": "", "range": [ 1.0, @@ -243,8 +244,8 @@ { "variable": "pue", "label": "Datacenter overhead for cooling and power (PUE)", - "share": 0.0010453540822963994, - "total_order_index": 0.0010465566729843782, + "share": 0.0009704001868067582, + "total_order_index": 0.0009718558672448875, "explain": "Cooling and power losses add to the electricity bill, which is already small.", "range": [ 0.6, @@ -252,35 +253,11 @@ ], "nominal": 1.2 }, - { - "variable": "thermal.facility.power_design_capacity", - "label": "Size of the building's power supply", - "share": 0.0009670626399871413, - "total_order_index": 0.0009681751630501268, - "explain": "", - "range": [ - 960000.0, - 3840000.0 - ], - "nominal": 1920000.0 - }, - { - "variable": "econ.facility.power_infra_unit_cost", - "label": "Power equipment cost per watt", - "share": 0.0009663472022085213, - "total_order_index": 0.0009674589022213797, - "explain": "", - "range": [ - 0.75, - 3.0 - ], - "nominal": 1.5 - }, { "variable": "econ.power.price_kwh_offpeak", "label": "Electricity price", - "share": 0.0008150173412931503, - "total_order_index": 0.0008159549492116341, + "share": 0.0009566468680866446, + "total_order_index": 0.0009580819174106291, "explain": "Electricity is a small part of the bill, so even a doubling matters little.", "range": [ 0.04065, @@ -288,23 +265,11 @@ ], "nominal": 0.0813 }, - { - "variable": "gpu.power.total", - "label": "Power one GPU draws", - "share": 0.0007278016471192393, - "total_order_index": 0.0007286389208223263, - "explain": "", - "range": [ - 350.0, - 1400.0 - ], - "nominal": 700.0 - }, { "variable": "econ.cluster.storage_capex", "label": "Shared storage price", - "share": 0.0005910167601719387, - "total_order_index": 0.0005916966745323064, + "share": 0.0007135643332764859, + "total_order_index": 0.0007146347387189205, "explain": "", "range": [ 1280000.0, @@ -313,46 +278,34 @@ "nominal": 2560000.0 }, { - "variable": "econ.asset.residual_fraction", - "label": "Resale value of the hardware at the end", - "share": 0.0004796942886824001, - "total_order_index": 0.0004802461360367232, + "variable": "gpu.power.total", + "label": "Power one GPU draws", + "share": 0.0006865573960419475, + "total_order_index": 0.0006875872888476775, "explain": "", "range": [ - 0.025, - 0.1 + 350.0, + 1400.0 ], - "nominal": 0.05 + "nominal": 700.0 }, { - "variable": "thermal.facility.cooling_design_capacity", - "label": "Size of the building's cooling plant", - "share": 0.00043827855309298537, - "total_order_index": 0.00043878275517686936, + "variable": "econ.facility.useful_life", + "label": "Depreciation horizon of facility capex (building shell, power infrastructure, cooling plant) in seconds", + "share": 0.0005648008759915723, + "total_order_index": 0.0005656481239597788, "explain": "", "range": [ - 960000.0, - 3840000.0 + 205124400.0, + 820497600.0 ], - "nominal": 1920000.0 - }, - { - "variable": "econ.facility.cooling_infra_unit_cost", - "label": "Cooling equipment cost per watt", - "share": 0.00043811273801109136, - "total_order_index": 0.00043861674933887005, - "explain": "", - "range": [ - 0.5, - 2.0 - ], - "nominal": 1.0 + "nominal": 410248800.0 }, { "variable": "econ.staff.cost_rate", "label": "Staff cost", - "share": 0.0003750477713958929, - "total_order_index": 0.0003754792318599274, + "share": 0.00043862265219393905, + "total_order_index": 0.0004392806224037555, "explain": "", "range": [ 0.007605141075366948, @@ -360,11 +313,23 @@ ], "nominal": 0.015210282150733896 }, + { + "variable": "econ.asset.residual_fraction", + "label": "Resale value of the hardware at the end", + "share": 0.0004243232714096223, + "total_order_index": 0.00042495979136709125, + "explain": "", + "range": [ + 0.025, + 0.1 + ], + "nominal": 0.05 + }, { "variable": "econ.node.chassis_capex", "label": "Server chassis price", - "share": 0.00033329439819264854, - "total_order_index": 0.00033367782496297456, + "share": 0.00040257415756546756, + "total_order_index": 0.00040317805205562925, "explain": "", "range": [ 7500.0, @@ -372,11 +337,35 @@ ], "nominal": 15000.0 }, + { + "variable": "econ.facility.power_infra_unit_cost", + "label": "Power equipment cost per watt", + "share": 0.00024510545363378187, + "total_order_index": 0.00024547313206066634, + "explain": "", + "range": [ + 0.75, + 3.0 + ], + "nominal": 1.5 + }, + { + "variable": "thermal.facility.power_design_capacity", + "label": "Size of the building's power supply", + "share": 0.00024349120684582725, + "total_order_index": 0.00024385646376918826, + "explain": "", + "range": [ + 960000.0, + 3840000.0 + ], + "nominal": 1920000.0 + }, { "variable": "econ.rack.switch_capex", "label": "Rack network switch price", - "share": 0.00014857698892560626, - "total_order_index": 0.00014874791407561608, + "share": 0.00017950931935342365, + "total_order_index": 0.00017977859816045334, "explain": "", "range": [ 5000.0, @@ -387,8 +376,8 @@ { "variable": "econ.node.cpu_capex", "label": "Server CPU price", - "share": 0.00014855368341520472, - "total_order_index": 0.00014872458175421312, + "share": 0.00017945711075607095, + "total_order_index": 0.00017972631124589202, "explain": "", "range": [ 5000.0, @@ -397,34 +386,22 @@ "nominal": 10000.0 }, { - "variable": "thermal.facility.floor_area", - "label": "Floor area of the building", - "share": 0.00012678422590524775, - "total_order_index": 0.00012693008034063804, - "explain": "", - "range": [ - 640.0, - 2560.0 - ], - "nominal": 1280.0 - }, - { - "variable": "econ.facility.building_shell_unit_cost", - "label": "Building construction cost", - "share": 0.00012671088418791775, - "total_order_index": 0.00012685665424991933, + "variable": "econ.network.transit_price_per_gb", + "label": "Price of sending data out of the datacenter", + "share": 0.0001296339264243205, + "total_order_index": 0.00012982838802210185, "explain": "", "range": [ - 400.0, - 1600.0 + 0.04, + 0.16 ], - "nominal": 800.0 + "nominal": 0.08 }, { "variable": "econ.network.egress_bytes_per_s", "label": "Data sent out of the datacenter", - "share": 0.00011101283141703856, - "total_order_index": 0.0001111405422085964, + "share": 0.00012938393145975569, + "total_order_index": 0.0001295780180444399, "explain": "", "range": [ 64000000.0, @@ -432,23 +409,11 @@ ], "nominal": 128000000.0 }, - { - "variable": "econ.network.transit_price_per_gb", - "label": "Price of sending data out of the datacenter", - "share": 0.00011069132261870489, - "total_order_index": 0.00011081866354181958, - "explain": "", - "range": [ - 0.04, - 0.16 - ], - "nominal": 0.08 - }, { "variable": "econ.node.dram_capex", "label": "Server memory price", - "share": 9.487293637645592e-05, - "total_order_index": 9.498207959573421e-05, + "share": 0.00011458982215544471, + "total_order_index": 0.00011476171635413537, "explain": "", "range": [ 4000.0, @@ -456,11 +421,35 @@ ], "nominal": 8000.0 }, + { + "variable": "thermal.facility.cooling_design_capacity", + "label": "Size of the building's cooling plant", + "share": 0.00010957697488635686, + "total_order_index": 0.0001097413494000679, + "explain": "", + "range": [ + 960000.0, + 3840000.0 + ], + "nominal": 1920000.0 + }, + { + "variable": "econ.facility.cooling_infra_unit_cost", + "label": "Cooling equipment cost per watt", + "share": 0.00010955978552021939, + "total_order_index": 0.00010972413424846133, + "explain": "", + "range": [ + 0.5, + 2.0 + ], + "nominal": 1.0 + }, { "variable": "econ.node.nic_capex", "label": "Network card price", - "share": 4.671086377804766e-05, - "total_order_index": 4.676460064171737e-05, + "share": 5.644987325858711e-05, + "total_order_index": 5.653455273140112e-05, "explain": "", "range": [ 2800.0, @@ -471,8 +460,8 @@ { "variable": "econ.cluster.spine_network_capex", "label": "Datacenter-wide network price", - "share": 3.7246331634715846e-05, - "total_order_index": 3.728918036161505e-05, + "share": 4.5025729785403424e-05, + "total_order_index": 4.5093272099339686e-05, "explain": "", "range": [ 320000.0, @@ -483,8 +472,8 @@ { "variable": "econ.node.storage_capex", "label": "Server storage price", - "share": 3.432078037340408e-05, - "total_order_index": 3.436026350316864e-05, + "share": 4.147228634226227e-05, + "total_order_index": 4.153449819750891e-05, "explain": "", "range": [ 2400.0, @@ -493,46 +482,46 @@ "nominal": 4800.0 }, { - "variable": "cluster.node.n_cpus", - "label": "CPUs per server", - "share": 1.8916419422281597e-05, - "total_order_index": 1.8938181148984922e-05, + "variable": "econ.facility.building_shell_unit_cost", + "label": "Building construction cost", + "share": 3.169643335500167e-05, + "total_order_index": 3.1743980623253116e-05, "explain": "", "range": [ - 1.0, - 4.0 + 400.0, + 1600.0 ], - "nominal": 2.0 + "nominal": 800.0 }, { - "variable": "cluster.node.cpu.power_per_cpu", - "label": "Server CPU power", - "share": 1.5698660542031382e-05, - "total_order_index": 1.5716720511663983e-05, + "variable": "thermal.facility.floor_area", + "label": "Floor area of the building", + "share": 3.151988691689247e-05, + "total_order_index": 3.156716935090349e-05, "explain": "", "range": [ - 175.0, - 700.0 + 640.0, + 2560.0 ], - "nominal": 350.0 + "nominal": 1280.0 }, { - "variable": "econ.power.capacity_charge_kw_month", - "label": "Utility charge for reserving power capacity", - "share": 1.5506376230726807e-05, - "total_order_index": 1.5524214993663862e-05, + "variable": "cluster.node.n_cpus", + "label": "CPUs per server", + "share": 1.7911006004200655e-05, + "total_order_index": 1.7937873992708912e-05, "explain": "", "range": [ - 4.0, - 16.0 + 1.0, + 4.0 ], - "nominal": 8.0 + "nominal": 2.0 }, { "variable": "econ.rack.power_distribution_capex", "label": "Rack power distribution price", - 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"share": 1.2298477747085729e-05, - "total_order_index": 1.2312626096497128e-05, + "share": 1.423750365041759e-05, + "total_order_index": 1.4258861081953035e-05, "explain": "", "range": [ 0.499, @@ -564,23 +577,11 @@ ], "nominal": 0.998 }, - { - "variable": "thermal.water.latent_heat", - "label": "Heat carried off by evaporating water", - "share": 1.2075034097222106e-05, - "total_order_index": 1.2088925393777286e-05, - "explain": "", - "range": [ - 1227000.0, - 4908000.0 - ], - "nominal": 2454000.0 - }, { "variable": "cluster.node.ram", "label": "Server memory size", - "share": 3.0902574849706314e-06, - "total_order_index": 3.0938125625637842e-06, + "share": 2.902525146673372e-06, + "total_order_index": 2.906879174150525e-06, "explain": "", "range": [ 1000000000000.0, @@ -591,8 +592,8 @@ { "variable": "cluster.node.ram.power_per_byte", "label": "Server memory power", - "share": 3.079648764479221e-06, - "total_order_index": 3.0831916376445248e-06, + "share": 2.8983028295403645e-06, + "total_order_index": 2.902650523193042e-06, "explain": "", "range": [ 7.8125e-11, @@ -603,8 +604,8 @@ { "variable": "thermal.water.cycles_of_concentration", "label": "How often cooling water is reused", - 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Its speed and power are on the datasheet, and the cost formula only uses those.", "share": 0.0, - "evidence": "96 of the graph's 117 chip-physics inputs sit upstream of the cost; 0 appear in the cost formula." + "evidence": "59 of the graph's 81 chip-physics inputs sit upstream of the cost; 0 appear in the cost formula." }, { "label": "Electricity price", "why": "Electricity is a small slice of the bill, so even a doubled price barely moves it.", - "share": 0.0008150173412931503, - "evidence": "0.08% of the variation in cost per token." + "share": 0.0009566468680866446, + "evidence": "0.10% of the variation in cost per token." }, { "label": "Datacenter overhead for cooling and power (PUE)", "why": "Cooling losses add to a bill that is already mostly hardware.", - "share": 0.0010453540822963994, + "share": 0.0009704001868067582, "evidence": "0.10% of the variation in cost per token." }, { "label": "Power one GPU draws", "why": "How hungry the chip is matters little because power is a small slice of the cost.", - "share": 0.0007278016471192393, + "share": 0.0006865573960419475, "evidence": "0.07% of the variation in cost per token." }, { "label": "Water price", "why": "Cooling water is a tiny cost next to the chips.", - "share": 1.232928658321927e-05, + "share": 1.4247434948039666e-05, "evidence": "0.00% of the variation in cost per token." }, { "label": "Price of sending data out of the datacenter", "why": "Sending data out of the datacenter is a rounding error for a training run.", - "share": 0.00011069132261870489, + "share": 0.0001296339264243205, "evidence": "0.01% of the variation in cost per token." }, - { - "label": "Utility charge for reserving power capacity", - "why": "The utility's reservation charge is small next to the hardware.", - "share": 1.5506376230726807e-05, - "evidence": "0.00% of the variation in cost per token." - }, { "label": "Carbon emitted per unit of electricity", "why": "Carbon is not priced in this scenario, so it does not change the bill.", @@ -811,7 +806,7 @@ "label": "How many GPUs you use", "why": "More GPUs finish sooner but the bill per token stays about the same, because each GPU is bought and powered per hour of work.", "share": 0.0, - "evidence": "Doubling the cluster changes cost per token by -1.7%." + "evidence": "Doubling the cluster changes cost per token by -1.9%." } ], "note": "This rerun uses the corrected presets: the H100 speed is the dense BF16 datasheet value, not the FP32 figure the first run carried." diff --git a/docs/data/e003-heatwave-lab-v1.json b/docs/data/e003-heatwave-lab-v1.json new file mode 100644 index 0000000..559c2c9 --- /dev/null +++ b/docs/data/e003-heatwave-lab-v1.json @@ -0,0 +1 @@ +{"schema":"gpu-stack.e003-heatwave-lab.v1","note":"Generated by scripts/build_heatwave_lab_data.py from committed result files. 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(penalty sweep keys)"},{"id":"packing.learned.at40","text":"$746","value":746.4916,"source":"packing-v1.json result.paired_net_value_difference.40 vs reactive mean"},{"id":"packing.learned.at160","text":"$5,575","value":5575.1499,"source":"packing-v1.json result.paired_net_value_difference.160 vs reactive mean"},{"id":"packing.learned.at2_5","text":"$295","value":-295.2761,"source":"packing-v1.json result.paired_net_value_difference.2.5 vs reactive mean (negative)"},{"id":"cost.flexible","text":"30 percent of the work","value":0.3,"source":"cost-v1.json result.scenario.workload.headline.flexible_fraction"},{"id":"cost.timestral.electricity","text":"8.6 percent","value":8.606,"source":"gpu_stack:experiments/e003-heatwave/results/cost-v1.json pairs.caiso curves (f=0.3, W=24, rho=0.7, q=0.5) at lambda 0.5 timestral_28M saving_pct_electricity"},{"id":"cost.timestral.co2","text":"10.8 percent","value":10.836,"source":"gpu_stack:experiments/e003-heatwave/results/cost-v1.json pairs.caiso curves (f=0.3, W=24, rho=0.7, q=0.5) at lambda 0.5 timestral_28M saving_pct_co2"},{"id":"cost.perfect.electricity","text":"9.0 percent","value":8.956,"source":"gpu_stack:experiments/e003-heatwave/results/cost-v1.json pairs.caiso curves (f=0.3, W=24, rho=0.7, q=0.5) at lambda 0.5 perfect saving_pct_electricity"},{"id":"cost.naive.electricity","text":"8.3 percent","value":8.324,"source":"gpu_stack:experiments/e003-heatwave/results/cost-v1.json pairs.caiso curves (f=0.3, W=24, rho=0.7, q=0.5) at lambda 0.5 seasonal_naive_24 saving_pct_electricity"},{"id":"cost.timestral.total","text":"0.22 percent","value":0.2179,"source":"gpu_stack:experiments/e003-heatwave/results/cost-v1.json pairs.caiso curves (f=0.3, W=24, rho=0.7, q=0.5) at lambda 0.5 timestral_28M saving_pct_total"},{"id":"outage.events_total","text":"90 events","value":90,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.event_counts_test_seeds (sum of n)"},{"id":"outage.n_seeds","text":"ten held-out","value":10,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.seeds.test"},{"id":"outage.events_scheduled","text":"65 of them","value":65,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.event_counts_test_seeds (sum of scheduled)"},{"id":"outage.events_with_precursor","text":"24 showed","value":24,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.event_counts_test_seeds (sum of with_precursor)"},{"id":"outage.events_without","text":"41 showed nothing","value":41,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.event_counts_test_seeds (scheduled minus with_precursor)"},{"id":"outage.reactive.lost","text":"35.1","value":35.1,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.policies.reactive.overall.lost_gpu_h.mean"},{"id":"outage.ts28m.lost","text":"26.8","value":26.8,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.policies.ts28m.overall.lost_gpu_h.mean"},{"id":"outage.ts28m.warned","text":"29 percent","value":0.289,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.policies.ts28m.overall.recall_in_time.value"},{"id":"outage.ts28m.false_alarms","text":"0.4 false alarms","value":0.4,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.policies.ts28m.overall.false_alarms_per_day.mean"},{"id":"outage.ts28m.precursor_recall","text":"17 of the 24","value":0.708,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.policies.ts28m.with_precursor.recall.value times n_events"},{"id":"outage.reactive.useful","text":"1,722","value":1722.1,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.policies.reactive.overall.useful_gpu_h.mean"},{"id":"outage.ts28m.useful","text":"1,727","value":1727.0,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.policies.ts28m.overall.useful_gpu_h.mean"},{"id":"outage.ts28m.useful_diff","text":"4.9 GPU-hours more, with a 95 percent interval from -1.3 to 16.0","value":4.8945,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v2.json result.paired_vs_reactive.ts28m.useful_gpu_h_minus_reactive"},{"id":"outage.v1.ts28m.warned","text":"21 percent","value":0.211,"source":"outage-v1.json result.policies.ts28m.overall.recall_in_time.value"},{"id":"outage.v2.perfect.deficit","text":"11.5 short","value":11.5,"source":"outage-v2.json result.policies.perfect_foresight.overall.deficit_gpu_h.mean"},{"id":"outage.v3.perfect.deficit","text":"0.9 GPU-hours above","value":-0.9,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v3.json result.policies.perfect_foresight.overall.deficit_gpu_h.mean (event-free minus policy)"},{"id":"outage.v3.ts28m.lost","text":"20.6","value":20.6,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v3.json result.policies.ts28m.overall.lost_gpu_h.mean"},{"id":"outage.v3.ts28m.lost_diff","text":"14.4 fewer, with a 95 percent interval from 4.3 to 29.8","value":-14.4401,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v3.json result.paired_vs_reactive.ts28m.lost_gpu_h_minus_reactive (sign flipped)"},{"id":"outage.v3.ts28m.useful_diff","text":"6.2 GPU-hours more, with a 95 percent interval from -0.6 to 18.7","value":6.1794,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v3.json result.paired_vs_reactive.ts28m.useful_gpu_h_minus_reactive"},{"id":"outage.v3.perfect.useful_diff","text":"11.6 more (interval 0.8 to 27.9)","value":11.5861,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v3.json result.paired_vs_reactive.perfect_foresight.useful_gpu_h_minus_reactive"},{"id":"outage.v3.ts28m.false_alarms","text":"0.4 false alarms","value":0.4,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v3.json result.policies.ts28m.overall.false_alarms_per_day.mean"},{"id":"outage.v3.classical.false_alarms","text":"5.4 to 6.0","value":6.0,"source":"gpu_stack:experiments/e003-heatwave/results/outage-v3.json result.policies.naive and policies.arima overall.false_alarms_per_day.mean"},{"id":"ablation.caiso.none","text":"0.189","value":0.18888,"source":"heatwave:results/ablation/ablation_real.json result.datasets.caiso_rt_lmp_5min.methods.timestral-209M.configs.none.buckets.all.wql"},{"id":"ablation.caiso.da","text":"0.169","value":0.168891,"source":"heatwave:results/ablation/ablation_real.json result.datasets.caiso_rt_lmp_5min.methods.timestral-209M.configs.DA.buckets.all.wql"},{"id":"ablation.caiso.wx","text":"0.188","value":0.188071,"source":"heatwave:results/ablation/ablation_real.json result.datasets.caiso_rt_lmp_5min.methods.timestral-209M.configs.WX.buckets.all.wql"},{"id":"ablation.caiso.da_diff","text":"-0.020, with a 95 percent interval from -0.025 to -0.016","value":-0.019989,"source":"heatwave:results/ablation/ablation_real.json result.datasets.caiso_rt_lmp_5min.methods.timestral-209M.configs.DA.buckets.all.delta_wql (paired, moving-block bootstrap)"},{"id":"ablation.gb.none","text":"0.145","value":0.144989,"source":"heatwave:results/ablation/ablation_real.json result.datasets.gb_carbon_30min.methods.timestral-209M.configs.none.buckets.all.wql"},{"id":"ablation.gb.f","text":"0.041","value":0.040528,"source":"heatwave:results/ablation/ablation_real.json result.datasets.gb_carbon_30min.methods.timestral-209M.configs.F.buckets.all.wql"},{"id":"ablation.laptop.none","text":"0.096","value":0.096218,"source":"heatwave:results/ablation/ablation_real.json result.datasets.laptop_power_1s_run2.methods.timestral-209M.configs.none.buckets.all.wql"},{"id":"ablation.laptop.s","text":"0.045","value":0.04452,"source":"heatwave:results/ablation/ablation_real.json result.datasets.laptop_power_1s_run2.methods.timestral-209M.configs.S.buckets.all.wql"},{"id":"ablation.laptop10.none","text":"0.107","value":0.107264,"source":"heatwave:results/ablation/ablation_real.json result.datasets.laptop_power_10hz_run2.methods.timestral-209M.configs.none.buckets.all.wql"},{"id":"ablation.laptop10.s","text":"0.250","value":0.249502,"source":"heatwave:results/ablation/ablation_real.json result.datasets.laptop_power_10hz_run2.methods.timestral-209M.configs.S.buckets.all.wql"},{"id":"ablation.laptop10.windows","text":"2,337 windows","value":2337,"source":"heatwave:results/ablation/ablation_real.json result.datasets.laptop_power_10hz_run2.subsampling.n_origins"},{"id":"ablation_sim.site1min.none","text":"0.051","value":0.050972,"source":"heatwave:results/ablation/ablation_sim.json result.datasets.sim_site_power_1min.methods.timestral-209M.configs.none.buckets.all.wql"},{"id":"ablation_sim.site1min.j","text":"0.039","value":0.039128,"source":"heatwave:results/ablation/ablation_sim.json result.datasets.sim_site_power_1min.methods.timestral-209M.configs.J.buckets.all.wql"},{"id":"ablation_sim.rack1s.none","text":"0.017","value":0.016731,"source":"heatwave:results/ablation/ablation_sim.json result.datasets.sim_rack_power_1s.methods.timestral-209M.configs.none.buckets.all.wql"},{"id":"ablation_sim.rack1s.j","text":"0.055","value":0.05487,"source":"heatwave:results/ablation/ablation_sim.json result.datasets.sim_rack_power_1s.methods.timestral-209M.configs.J.buckets.all.wql"},{"id":"ablation_sim.rack1s.c","text":"1.012","value":1.012409,"source":"heatwave:results/ablation/ablation_sim.json result.datasets.sim_rack_power_1s.methods.timestral-209M.configs.C.buckets.all.wql"},{"id":"finetune.laptop.ratio","text":"0.45","value":0.44756976936203013,"source":"heatwave:results/finetune/colab/finetune_colab.json result.evaluation.209M.datasets.laptop_power best fine-tuned over best zero-shot WQL (all horizons)"},{"id":"finetune.simrack.ratio","text":"0.80","value":0.8029197080291971,"source":"heatwave:results/finetune/colab/finetune_colab.json result.evaluation.209M.datasets.sim_rack_power_1s best fine-tuned over best zero-shot WQL"},{"id":"finetune.simrack.zs_none","text":"0.022","value":0.0216,"source":"heatwave:results/finetune/colab/finetune_colab.json result.evaluation.209M.datasets.sim_rack_power_1s.modes.none zero-shot-209M WQL"},{"id":"finetune.simrack.zs_cov","text":"0.045","value":0.0453,"source":"heatwave:results/finetune/colab/finetune_colab.json result.evaluation.209M.datasets.sim_rack_power_1s.modes.cov_all zero-shot-209M WQL"},{"id":"finetune.elsayed.zs","text":"0.148","value":0.147605,"source":"heatwave:results/finetune/colab/finetune_colab.json result.evaluation.209M.datasets.elsayed_gpu_power.modes.none zero-shot-209M WQL"},{"id":"finetune.elsayed.ft","text":"0.155","value":0.15524,"source":"heatwave:results/finetune/colab/finetune_colab.json result.evaluation.209M.datasets.elsayed_gpu_power.modes.none finetuned-209M-full WQL"}]} \ No newline at end of file diff --git a/docs/data/explainers.json b/docs/data/explainers.json index 11dc9a2..e830ba4 100644 --- a/docs/data/explainers.json +++ b/docs/data/explainers.json @@ -1,6 +1,6 @@ { "version": 1, - "note": "Hover and tap explainers. Every entry is a draft for the story author to edit.", + "note": "Hover and tap explainers. Entries marked draft still need the story author's edit.", "entries": [ { "id": "token", @@ -147,7 +147,7 @@ "id": "electricity", "term": "electricity", "title": "Electricity", - "body": "Power drawn times hours times the price per kilowatt-hour, multiplied by the building's PUE because the cooling is on the same bill. In the 7 billion parameter example on this page it comes to about 6 percent of the cost. The hardware is the expensive part.", + "body": "Power drawn times hours times the price per kilowatt-hour, multiplied by the building's PUE because the cooling is on the same bill. In the 7 billion parameter example on this page it comes to about 7.4 percent of the cost. The hardware is the expensive part.", "visual": "pue", "review": "edited" }, @@ -410,6 +410,62 @@ "agents" ], "review": "edited" + }, + { + "id": "quantile-forecast", + "term": "quantile forecast", + "title": "Quantile forecast", + "body": "A forecast that gives a range instead of one number: the level the value stays under 1 percent of the time, 5 percent, 10 percent and so on up to 99. Plan on the 90th and you expect to be caught short about one time in ten.", + "visual": "quantiles", + "aliases": [ + "quantile forecasts", + "percentile forecast" + ], + "review": "edited" + }, + { + "id": "timestral", + "term": "Timestral", + "title": "Timestral", + "body": "An open forecasting model Mistral released in October 2026. It reads a long history of numbers, plus anything known ahead like a schedule, and returns 21 quantiles for every future step. The small versions run on an ordinary CPU, which is where I ran them.", + "visual": "timestral", + "aliases": [], + "review": "edited" + }, + { + "id": "thermal-throttling", + "term": "thermal throttling", + "title": "Thermal throttling", + "body": "When a chip gets too hot it slows its own clock to make less heat. The work still gets done, just slower, so each unit of work costs more. My laptop's GPU starts doing this at about 84 degrees Celsius.", + "visual": "throttle", + "aliases": [ + "throttles itself", + "throttling" + ], + "review": "edited" + }, + { + "id": "power-cap", + "term": "power cap", + "title": "Power cap", + "body": "The most power a site may draw, set by its grid contract, its transformers or its cooling. Going over can mean penalty fees, a tripped breaker or overheated racks, so operators leave room under it, and room left unused is capacity paid for and wasted.", + "visual": "powercap", + "aliases": [ + "power caps", + "site power cap" + ], + "review": "edited" + }, + { + "id": "carbon-intensity", + "term": "carbon intensity", + "title": "Carbon intensity", + "body": "Grams of carbon dioxide emitted per kilowatt-hour of electricity on the grid at a given hour. It moves with the weather and the time of day, because sun and wind come and go and gas plants fill the gaps.", + "visual": "carbonmix", + "aliases": [ + "grid carbon" + ], + "review": "edited" } ] } diff --git a/docs/explain-visuals.js b/docs/explain-visuals.js index 33f7787..6556c77 100644 --- a/docs/explain-visuals.js +++ b/docs/explain-visuals.js @@ -1441,6 +1441,157 @@ } ); + /* ========================================================= + 33. quantile forecast (a fan of percentile lines) + ========================================================= */ + def( + "quantiles", + "A line of past values on the left, then a widening fan of percentile lines going forward, with the 90th percentile line picked out in gold.", + function () { + var past = [[10, 70], [22, 62], [34, 74], [46, 58], [58, 66], [70, 52], [82, 60], [94, 50], [106, 56], [118, 48]]; + var out = T(10, 12, "past", "ts") + T(250, 12, "future, 21 lines", "ts te"); + out += poly(past, "ln s-bl w2 dr pa"); + var fan = "M118 48"; + var up = []; + var dn = []; + for (var i = 0; i <= 6; i++) { + var x = 118 + i * 22; + up.push([x, 48 - i * 4.2]); + dn.push([x, 48 + i * 4.6]); + } + out += ''; + var lines = [ + ["99th", -1.1, "s-ln w1"], + ["90th", -0.7, "s-go w3"], + ["50th", 0, "s-cd w2"], + ["10th", 0.7, "s-ln w1"], + ["1st", 1.1, "s-ln w1"], + ]; + lines.forEach(function (l, k) { + var pts = []; + for (var j = 0; j <= 6; j++) { + var xx = 118 + j * 22; + pts.push([xx, 48 + (l[1] < 0 ? l[1] * j * 4.2 : l[1] * j * 4.6)]); + } + out += poly(pts, "ln " + l[2] + " dr fl fl" + k); + an(".fl" + k, 4, 40 + k * 3, 62 + k * 3, "stroke-dashoffset:1", "stroke-dashoffset:0", "linear"); + }); + out += T(130, 112, "plan on the 90th (gold): short 1 time in 10", "tm tb"); + draw(".pa", 4, 4, 38); + an(".fa", 4, 38, 60, "opacity:0", "opacity:1", "linear"); + return out; + } + ); + + /* ========================================================= + 34. Timestral (history and known-ahead inputs in, quantiles out) + ========================================================= */ + def( + "timestral", + "A long history of values and a strip of known-ahead inputs, such as a schedule, both feeding a box labeled Timestral, which returns a fan of 21 quantile lines.", + function () { + var hist = []; + for (var x = 10; x <= 84; x += 4) hist.push([x, 40 + 12 * Math.sin(x / 7) + 4 * Math.sin(x / 2.3)]); + var out = T(10, 12, "history", "ts") + poly(hist, "ln s-bl w15 dr hh"); + out += T(10, 74, "known ahead", "ts"); + [[10, 14], [30, 10], [44, 22], [70, 14]].forEach(function (b, i) { + out += rect(b[0], 80, b[1], 9, "f-t2 s-ink w1 kb kb" + i); + an(".kb" + i, 4, 6 + i * 7, 14 + i * 7, "opacity:0", "opacity:1", "linear"); + }); + out += line(88, 40, 98, 52, "s-ink w1") + line(86, 84, 98, 62, "s-ink w1"); + out += rect(98, 34, 66, 42, "f-pa s-ink w2 bx") + T(131, 52, "Timestral", "tm tb") + T(131, 66, "209M", "tm ts"); + out += line(164, 55, 172, 55, "s-ink w1"); + var up = [[172, 55], [250, 28]]; + var dn = [[172, 55], [250, 82]]; + out += ''; + for (var k = 0; k < 5; k++) { + var y = 28 + k * 13.5; + out += poly([[172, 55], [250, y]], "ln " + (k === 2 ? "s-cd w2" : "s-ln w1") + " dr fq fq" + k); + an(".fq" + k, 4, 52 + k * 3, 70 + k * 3, "stroke-dashoffset:1", "stroke-dashoffset:0", "linear"); + } + out += T(250, 100, "21 quantiles", "te tb"); + out += T(130, 114, "open model, runs on an ordinary CPU", "tm ts"); + draw(".hh", 4, 4, 34); + an(".fa2", 4, 50, 66, "opacity:0", "opacity:1", "linear"); + return out; + } + ); + + /* ========================================================= + 35. thermal throttling (hot chip, slower clock) + ========================================================= */ + def( + "throttle", + "Two stacked curves. The temperature climbs to a dashed limit line, and at that moment the clock speed below steps down to about half.", + function () { + var out = T(10, 12, "temperature", "tb") + T(250, 12, "limit", "te ts"); + out += line(10, 24, 250, 24, "s-rd w1", 'stroke-dasharray="4 3"'); + var temp = [[10, 62], [50, 54], [90, 40], [120, 28], [140, 25], [170, 26], [210, 25], [250, 26]]; + out += poly(temp, "ln s-rd w2 dr tt"); + out += T(10, 80, "clock speed", "tb"); + out += poly([[10, 92], [128, 92], [128, 106], [250, 106]], "ln s-bl w2 dr cc"); + out += T(250, 90, "full speed", "te ts"); + out += T(250, 118, "slowed to stay cool", "te ts"); + out += line(128, 24, 128, 106, "s-ln w1", 'stroke-dasharray="2 2"'); + draw(".tt", 4, 4, 52); + draw(".cc", 4, 40, 86); + return out; + } + ); + + /* ========================================================= + 36. power cap (room under a ceiling, and going over it) + ========================================================= */ + def( + "powercap", + "A power curve under a dashed ceiling. Two spikes poke over the ceiling in red, and the hatched gaps under it are room that goes unused.", + function () { + var capY = 40; + var out = T(10, 12, "site power", "tb") + T(250, 32, "the cap", "te ts"); + var ys = []; + var cols = ""; + for (var x = 10; x <= 250; x += 6) { + var y = 62 - 10 * Math.sin(x / 19) - 3 * Math.sin(x / 4.1); + if (x >= 100 && x <= 124) y = 30 + (x % 12 === 4 ? 0 : 3); + if (x >= 190 && x <= 208) y = 33; + ys.push([x, y]); + if (y < capY) cols += rect(x - 3, y, 6, capY - y, "f-rd"); + else if (y - capY > 14) cols += rect(x - 3, capY, 6, y - capY, "f-ha"); + } + out += '' + cols + ""; + out += line(10, capY, 250, capY, "s-ink w2", 'stroke-dasharray="6 4"'); + out += poly(ys, "ln s-bl w2 dr pw"); + out += rect(10, 92, 10, 8, "f-rd") + T(24, 100, "over the cap", ""); + out += rect(110, 92, 10, 8, "f-ha s-ln w1") + T(124, 100, "room left unused", ""); + out += T(130, 116, "too low wastes room, too high trips it", "tm tb"); + draw(".pw", 4, 4, 70); + an(".cx", 4, 40, 70, "opacity:0", "opacity:1", "linear"); + return out; + } + ); + + /* ========================================================= + 37. carbon intensity (the grid is cleaner at some hours) + ========================================================= */ + def( + "carbonmix", + "Twenty-four bars for the hours of one example day. The bars are tall at night and short around midday, when solar power is plentiful.", + function () { + var out = T(10, 12, "grams of CO2 per kWh, by hour", "tb"); + var base = 92; + for (var i = 0; i < 24; i++) { + var hgt = 52 - 30 * Math.max(0, Math.sin(((i - 6) / 12) * Math.PI)) + (i % 5) * 1.5; + var cls = hgt > 40 ? "f-t4" : hgt > 30 ? "f-t2" : "f-t3"; + out += rect(12 + i * 10, base - hgt, 8, hgt, cls + " s-ink w1 ob cb cb" + i); + an(".cb" + i, 4, 4 + i * 2.2, 14 + i * 2.2, "transform:scaleY(0)", "transform:none", "ease-out"); + } + out += line(10, base, 252, base, "s-ink w1"); + out += T(12, 104, "midnight", "ts") + T(130, 104, "noon", "tm ts") + T(250, 104, "midnight", "te ts"); + out += T(130, 116, "an example day, not data", "tm ts"); + return out; + } + ); + /* ---------- public API ---------- */ var HATCH = diff --git a/docs/figures/index.js b/docs/figures/index.js index 4391667..ed2e58b 100644 --- a/docs/figures/index.js +++ b/docs/figures/index.js @@ -17,6 +17,8 @@ "accuracy", "flaky-sites", "agents-report-card", + "packing-tradeoff", + "known-future", ]; var NS = "http://www.w3.org/2000/svg"; var hasDom = typeof document !== "undefined"; diff --git a/docs/figures/known-future.js b/docs/figures/known-future.js new file mode 100644 index 0000000..7353b8e --- /dev/null +++ b/docs/figures/known-future.js @@ -0,0 +1,130 @@ +/* known-future: what a forecaster gains from inputs that are known ahead of + time. One row per series, one marker per input, placed by the change in + forecast loss against the same Timestral model with no inputs. Lower is + better. A filled marker means the 95% interval of the paired difference + (same windows, with and without the input) is clear of zero; a hollow one + means it includes zero. Data: data/e003-heatwave-story-v1.json, + blocks "ablation" (measured and public series) and "ablation_sim" (simulated + cluster) when that result is in. */ +(function (root) { + "use strict"; + var F = root.GPUStackFigures; + var DATA = "data/e003-heatwave-story-v1.json"; + var NAME = { DA: "day-ahead price", WX: "weather forecast", DEM: "demand forecast", F: "carbon forecast", S: "job schedule", K: "checkpoint timing", + J: "job schedule", P: "training-step phase", W: "weather forecast", C: "price and carbon forecast" }; + var KIND = { measured: "measured", public: "public", simulated: "simulated" }; + + F.define("known-future", { + title: "What known inputs add", + label: "Chart: change in Timestral forecast loss when inputs known ahead of time are added, for each series, with one marker per input", + summary: + "Each row is one series. Each marker is one input known ahead of time, such as a job schedule, a weather forecast or a day-ahead price, " + + "placed by how much it changed forecast loss against the same model with no inputs. Left of the line is better. Hollow markers are differences whose interval includes zero.", + build: function (ctx) { + var h = ctx.h, s = ctx.s, u = ctx.util; + var model = "timestral-209M", D = null, rows = []; + var seg = h("div", { class: "gsf-seg", role: "group", "aria-label": "Model size" }); + var btns = [["timestral-209M", "Timestral 209M"], ["timestral-28M", "Timestral 28M"]].map(function (m) { + var b = h("button", { type: "button", "aria-pressed": String(m[0] === model), text: m[1] }); + b.addEventListener("click", function () { model = m[0]; paintButtons(); build(); }); + seg.appendChild(b); + return b; + }); + function paintButtons() { btns.forEach(function (b, i) { b.setAttribute("aria-pressed", String(i === (model === "timestral-209M" ? 0 : 1))); }); } + var legend = h("p", { class: "kf-legend" }); + var list = h("div", { class: "kf-list" }); + var msg = h("p", { class: "gsf-note", text: "Loading the results." }); + ctx.el.appendChild(h("div", null, [seg, list, legend, h("p", { class: "gsf-note", text: "Marker position is the change in loss against no inputs. Filled: the 95% interval of the paired difference is clear of zero. Hollow: it includes zero. Combinations of inputs are in the Heatwave window." }), msg])); + + function shape(i, cx, cy, filled) { + i = i % 6; + var a = { class: "kf-m" + (filled ? " is-f" : ""), "data-k": String(i) }, r = 5; + if (i === 0) return s("circle", Object.assign(a, { cx: cx, cy: cy, r: r })); + if (i === 1) return s("rect", Object.assign(a, { x: cx - r, y: cy - r, width: 2 * r, height: 2 * r })); + if (i === 2) return s("polygon", Object.assign(a, { points: [cx, cy - 6, cx + 6, cy + 5, cx - 6, cy + 5].join(" ") })); + if (i === 3) return s("polygon", Object.assign(a, { points: [cx, cy - 6, cx + 6, cy, cx, cy + 6, cx - 6, cy].join(" ") })); + if (i === 4) return s("polygon", Object.assign(a, { points: [cx - 6, cy - 3, cx + 6, cy - 3, cx, cy + 6].join(" ") })); + return s("polygon", Object.assign(a, { points: [cx - 2, cy - 6, cx + 2, cy - 6, cx + 2, cy - 2, cx + 6, cy - 2, cx + 6, cy + 2, cx + 2, cy + 2, cx + 2, cy + 6, cx - 2, cy + 6, cx - 2, cy + 2, cx - 6, cy + 2, cx - 6, cy - 2, cx - 2, cy - 2].join(" ") })); + } + + function build() { + if (!D) return; + var blocks = [D.ablation, D.ablation_sim].filter(function (b) { return b && b.status === "ready"; }); + var items = [], kinds = []; + blocks.forEach(function (b) { + Object.keys(b.datasets).forEach(function (n) { + var d = b.datasets[n], cfgs = d.methods[model]; + if (!cfgs) return; + var pts = Object.keys(cfgs).filter(function (c) { return cfgs[c].groups.length === 1; }).map(function (c) { + var g = cfgs[c].groups[0], nm = NAME[g] || d.groups[g] || g; + if (kinds.indexOf(nm) < 0) kinds.push(nm); + return { name: nm, change: cfgs[c].change_pct, filled: cfgs[c].vs_none === "lower" || cfgs[c].vs_none === "higher" }; + }); + items.push({ what: d.what, kind: KIND[d.data_kind] || "simulated", pts: pts }); + }); + }); + var all = []; + items.forEach(function (it) { it.pts.forEach(function (p) { all.push(p.change); }); }); + var lo = Math.min(0, Math.min.apply(null, all)), hi = Math.max(0, Math.max.apply(null, all)); + var pad = (hi - lo) * 0.06; + lo -= pad; hi += pad; + var W = 300; + function X(v) { return 6 + (W - 12) * (v - lo) / (hi - lo); } + list.replaceChildren(); + rows = []; + items.forEach(function (it, ri) { + var svg = s("svg", { class: "kf-svg", viewBox: "0 0 " + W + " 30", "aria-hidden": "true" }, [s("line", { x1: X(0), x2: X(0), y1: 0, y2: 30, class: "kf-zero" })]); + it.pts.forEach(function (p) { + var m = shape(kinds.indexOf(p.name), X(p.change), 15, p.filled); + var t = s("title"); t.textContent = p.name + ": " + (p.change > 0 ? "+" : "") + p.change.toFixed(1) + "% loss"; m.appendChild(t); + svg.appendChild(m); + }); + var row = h("div", { class: "kf-row" }, [h("div", { class: "kf-what" }, [h("span", { text: it.what }), h("span", { class: "kf-kind", text: it.kind })]), svg]); + rows.push(row); + list.appendChild(row); + }); + var step = [5, 10, 20, 25, 50, 100].filter(function (v) { return v >= (hi - lo) / 5; })[0] || 100; + var ax = s("svg", { class: "kf-svg kf-ax", viewBox: "0 0 " + W + " 24", "aria-hidden": "true" }, [s("line", { x1: 6, x2: W - 6, y1: 2, y2: 2, class: "kf-axl" })]); + for (var tv = Math.ceil(lo / step) * step; tv <= hi; tv += step) { + var tt = s("text", { x: X(tv), y: 19, "text-anchor": "middle", class: "kf-at" }); + tt.textContent = (tv > 0 ? "+" : "") + tv + "%"; + ax.appendChild(s("line", { x1: X(tv), x2: X(tv), y1: 2, y2: 6, class: "kf-axl" })); + ax.appendChild(tt); + } + list.appendChild(h("div", { class: "kf-row kf-axisrow" }, [h("div", { class: "kf-what" }, [h("span", { class: "kf-kind", text: "change in loss" })]), ax])); + legend.replaceChildren(); + kinds.forEach(function (k, i) { + var sv = s("svg", { viewBox: "0 0 16 16", class: "kf-key", "aria-hidden": "true" }, [shape(i, 8, 8, true)]); + legend.appendChild(h("span", null, [sv, k])); + }); + var parts = []; + items.forEach(function (it) { + parts.push(it.what + ": " + it.pts.map(function (p) { return p.name + " " + (p.change > 0 ? "+" : "") + p.change.toFixed(0) + "%"; }).join(", ")); + }); + ctx.setSummary("Change in " + model.replace("timestral-", "Timestral ") + " forecast loss against no inputs, lower is better. " + parts.join(". ") + "."); + msg.hidden = true; + if (ctx.reduced && ctx.root.__gsf) ctx.root.__gsf.end(); + } + + var started = false; + function fetchData() { + if (started) return; + started = true; + root.fetch(ctx.root.getAttribute("data-src") || DATA).then(function (r) { if (!r.ok) throw new Error(String(r.status)); return r.json(); }) + .then(function (d) { D = d; build(); }) + .catch(function () { msg.textContent = "The results could not be fetched."; }); + } + ctx.onVisible(function (v) { if (v) fetchData(); }); + if (ctx.reduced) fetchData(); + + return { + duration: 1.6, + autoplay: true, + render: function (t) { + var n = rows.length, k = u.clamp(t / 1.2) * n; + rows.forEach(function (r, i) { r.style.opacity = i < k ? "1" : "0.15"; }); + }, + }; + }, + }); +})(typeof window !== "undefined" ? window : globalThis); diff --git a/docs/figures/packing-tradeoff.js b/docs/figures/packing-tradeoff.js new file mode 100644 index 0000000..be1e1fd --- /dev/null +++ b/docs/figures/packing-tradeoff.js @@ -0,0 +1,147 @@ +/* packing-tradeoff: plan a simulated GPU cluster around a higher or lower + percentile of the power forecast and see what you get. Each dot is one of + the 21 percentiles: GPU-hours delivered against energy drawn over the power + cap, averaged over the held-out test episodes. Every number is read from + data/e003-heatwave-story-v1.json, built from experiments/e003-heatwave/ + results/packing-v1.json. Simulated, not measured. */ +(function (root) { + "use strict"; + var F = root.GPUStackFigures; + var DATA = "data/e003-heatwave-story-v1.json"; + + function ord(q) { + var p = Math.round(q * 100); + var s = p % 100 >= 11 && p % 100 <= 13 ? "th" : p % 10 === 1 ? "st" : p % 10 === 2 ? "nd" : p % 10 === 3 ? "rd" : "th"; + return p + s; + } + + F.define("packing-tradeoff", { + title: "Planning low or high on the forecast", + label: "Chart: GPU-hours delivered against energy over the power cap for 21 forecast percentiles in a simulated two-site cluster, with a slider to pick the percentile", + summary: + "Simulated, not measured. Each of 21 forecast percentiles, from the 1st to the 99th, is a way to decide how many jobs a two-site cluster admits. " + + "Planning on a low percentile admits more jobs and draws more energy over the power cap. Planning on a high percentile admits fewer jobs and stays under the cap more often.", + build: function (ctx) { + var h = ctx.h, s = ctx.s, u = ctx.util; + var P = null, idx = 18, manual = null; + var W = 380, H = 250, L = 52, R = 14, T = 14, B = 40; + var X0 = 0, X1 = 1, Y0 = 0, Y1 = 1; + function X(v) { return L + (W - L - R) * (v - X0) / (X1 - X0); } + function Y(v) { return T + (H - T - B) * (1 - (v - Y0) / (Y1 - Y0)); } + + var svg = s("svg", { class: "pt-svg", viewBox: "0 0 " + W + " " + H, role: "img", "aria-label": "Scatter of GPU-hours delivered against energy over the cap, one dot per forecast percentile. The text below the figure gives the numbers." }); + function text(x, y, str, anchor, cls) { + var t = s("text", { x: x, y: y, "text-anchor": anchor || "start", class: cls || "pt-t" }); + t.textContent = str; + svg.appendChild(t); + return t; + } + var axes = s("g"); + svg.appendChild(axes); + function ticks(lo, hi, n) { + var raw = (hi - lo) / n, mag = Math.pow(10, Math.floor(Math.log10(raw))), step = mag, out = []; + [1, 2, 2.5, 5, 10].some(function (m) { step = m * mag; return step >= raw; }); + for (var v = Math.ceil(lo / step) * step; v <= hi + 1e-9; v += step) out.push(v); + return { list: out, step: step }; + } + function drawAxes(es, gs) { + var tx = ticks(0, Math.max.apply(null, es) * 1.06, 4), ty = ticks(Math.min.apply(null, gs) * 0.97, Math.max.apply(null, gs) * 1.03, 3); + X1 = tx.list[tx.list.length - 1] + tx.step / 2; + Y0 = Math.floor(Math.min.apply(null, gs) * 0.97 / ty.step) * ty.step; + Y1 = ty.list[ty.list.length - 1] + ty.step / 2; + tx.list.forEach(function (v) { + axes.appendChild(s("line", { x1: X(v), x2: X(v), y1: T, y2: H - B, class: "pt-grid" })); + var t = s("text", { x: X(v), y: H - B + 16, "text-anchor": "middle", class: "pt-t" }); t.textContent = String(v); axes.appendChild(t); + }); + ty.list.forEach(function (v) { + axes.appendChild(s("line", { x1: L, x2: W - R, y1: Y(v), y2: Y(v), class: "pt-grid" })); + var t = s("text", { x: L - 6, y: Y(v) + 4, "text-anchor": "end", class: "pt-t" }); t.textContent = v.toLocaleString("en-US"); axes.appendChild(t); + }); + var cap = s("text", { x: 4, y: 11, class: "pt-t" }); cap.textContent = "GPU-hours delivered (axis starts at " + Y0.toLocaleString("en-US") + ")"; axes.appendChild(cap); + } + text(W - R, H - 6, "energy over the cap (kWh per episode)", "end"); + var line = s("polyline", { class: "pt-line", fill: "none" }); + var dots = s("g"); + var whisk = s("g", { class: "pt-whisk" }); + var react = s("rect", { width: 9, height: 9, class: "pt-react" }); + var reactT = s("text", { class: "pt-t", "text-anchor": "end" }); + reactT.textContent = "react to the meter"; + var mark = s("circle", { r: 6, class: "pt-mark" }); + [line, dots, whisk, react, reactT, mark].forEach(function (n) { svg.appendChild(n); }); + + var q = h("input", { type: "range", min: "0", max: "20", step: "1", value: "18", id: "pt-q", "aria-describedby": "pt-read" }); + var qLabel = h("label", { for: "pt-q", class: "pt-label", text: "Forecast percentile to plan around" }); + var read = h("p", { class: "pt-read", id: "pt-read", "aria-live": "polite" }); + var note = h("p", { class: "gsf-note", text: "Simulated two-site cluster. Dots are means over the held-out test episodes; the cross on the gold dot is the 95% interval." }); + var msg = h("p", { class: "gsf-note", text: "Loading the packing results." }); + ctx.el.appendChild(h("div", null, [svg, qLabel, q, read, note, msg])); + + function ready(d) { + P = d.packing; + var lv = P.quantile_levels; + var pts = lv.map(function (v) { return P.policies["timestral-5M/q" + v]; }); + var rr = P.policies.reactive; + drawAxes(pts.map(function (p) { return p.energy_above_cap_kwh.mean; }).concat([rr.energy_above_cap_kwh.mean]), + pts.map(function (p) { return p.gpu_hours.mean; }).concat([rr.gpu_hours.mean])); + line.setAttribute("points", pts.map(function (p) { return X(p.energy_above_cap_kwh.mean).toFixed(1) + "," + Y(p.gpu_hours.mean).toFixed(1); }).join(" ")); + pts.forEach(function (p, i) { + dots.appendChild(s("circle", { r: 3, cx: X(p.energy_above_cap_kwh.mean).toFixed(1), cy: Y(p.gpu_hours.mean).toFixed(1), class: "pt-dot" })); + }); + var r = P.policies.reactive; + react.setAttribute("x", X(r.energy_above_cap_kwh.mean) - 4.5); + react.setAttribute("y", Y(r.gpu_hours.mean) - 4.5); + reactT.setAttribute("x", X(r.energy_above_cap_kwh.mean) - 10); + reactT.setAttribute("y", Y(r.gpu_hours.mean) + 4); + msg.hidden = true; + var first = pts[0], last = pts[pts.length - 1]; + ctx.setSummary("Simulated, not measured, " + P.test_seeds.length + " held-out test episodes of " + P.window_hours + " hours. Reacting to measured power delivers " + + Math.round(r.gpu_hours.mean).toLocaleString("en-US") + " GPU-hours with " + r.energy_above_cap_kwh.mean.toFixed(1) + " kWh over the cap. Planning on the " + ord(lv[0]) + + " percentile delivers " + Math.round(first.gpu_hours.mean).toLocaleString("en-US") + " GPU-hours with " + first.energy_above_cap_kwh.mean.toFixed(1) + " kWh over the cap. Planning on the " + + ord(lv[lv.length - 1]) + " percentile delivers " + Math.round(last.gpu_hours.mean).toLocaleString("en-US") + " GPU-hours with " + last.energy_above_cap_kwh.mean.toFixed(1) + " kWh over the cap."); + paint(idx); + if (ctx.reduced && ctx.root.__gsf) ctx.root.__gsf.end(); + } + function paint(i) { + if (!P) return; + var lv = P.quantile_levels, p = P.policies["timestral-5M/q" + lv[i]]; + var ex = p.energy_above_cap_kwh, gy = p.gpu_hours; + mark.setAttribute("cx", X(ex.mean)); mark.setAttribute("cy", Y(gy.mean)); + whisk.replaceChildren( + s("line", { x1: X(ex.lo), x2: X(ex.hi), y1: Y(gy.mean), y2: Y(gy.mean) }), + s("line", { x1: X(ex.mean), x2: X(ex.mean), y1: Y(gy.lo), y2: Y(gy.hi) })); + q.value = String(i); + q.setAttribute("aria-valuetext", ord(lv[i]) + " percentile"); + read.textContent = "Plan on the " + ord(lv[i]) + " percentile: " + Math.round(gy.mean).toLocaleString("en-US") + " GPU-hours, " + ex.mean.toFixed(1) + + " kWh over the cap, over the cap in " + Math.round(100 * p.violation_rate.mean) + "% of intervals."; + } + q.addEventListener("input", function () { + manual = Number(q.value); + if (ctx.root.__gsf) ctx.root.__gsf.timeline.pause(); + paint(manual); + }); + var started = false; + function fetchData() { + if (started) return; + started = true; + var src = ctx.root.getAttribute("data-src") || DATA; + root.fetch(src).then(function (r) { if (!r.ok) throw new Error(String(r.status)); return r.json(); }).then(ready) + .catch(function () { msg.textContent = "The packing results could not be fetched."; }); + } + ctx.onVisible(function (v) { if (v) fetchData(); }); + if (ctx.reduced) fetchData(); + + var D = 8; + return { + duration: D, + still: D, + onReplay: function () { manual = null; }, + render: function (t) { + if (manual !== null) return; + var a = t <= 6 ? 20 - 20 * u.ease(t / 6) : 0 + 18 * u.ease((t - 6) / 2); + idx = Math.round(u.clamp(a, 0, 20)); + paint(idx); + }, + }; + }, + }); +})(typeof window !== "undefined" ? window : globalThis); diff --git a/docs/heatwave-lab.js b/docs/heatwave-lab.js new file mode 100644 index 0000000..6d1d68b --- /dev/null +++ b/docs/heatwave-lab.js @@ -0,0 +1,403 @@ +/* heatwave.exe: the Heatwave window. Reads data/e003-heatwave-lab-v1.json (made by + scripts/build_heatwave_lab_data.py from committed result files). Nothing here + computes a result; every number shown is read from the data file, and a result + that is not in yet says so. Four tabs: pack jobs under a cap (replay of one + simulated episode), outages, cheaper and cleaner hours, known inputs. */ +(function (root) { + "use strict"; + var NS = "http://www.w3.org/2000/svg"; + var DATA_URL = "data/e003-heatwave-lab-v1.json"; + var uid = 0; + + function h(tag, attrs, kids) { + var n = document.createElement(tag); + for (var k in attrs || {}) { + if (k === "text") n.textContent = attrs[k]; + else if (attrs[k] !== null && attrs[k] !== undefined && attrs[k] !== false) n.setAttribute(k, attrs[k]); + } + (kids || []).forEach(function (c) { if (c) n.append(c); }); + return n; + } + function s(tag, attrs, kids) { + var n = document.createElementNS(NS, tag); + for (var k in attrs || {}) if (attrs[k] !== null && attrs[k] !== undefined) n.setAttribute(k, attrs[k]); + (kids || []).forEach(function (c) { if (c) n.append(c); }); + return n; + } + function on(n, type, fn) { n.addEventListener(type, fn); return n; } + function txt(parent, x, y, cls, str, anchor) { + var t = s("text", { x: x, y: y, class: cls || "hwl-axis", "text-anchor": anchor || "start" }); + t.textContent = str; + parent.append(t); + return t; + } + function fmt(x, d) { + if (x === null || x === undefined || isNaN(x)) return "n/a"; + return Number(x).toLocaleString("en-US", { minimumFractionDigits: d || 0, maximumFractionDigits: d || 0 }); + } + function pct(x, d) { return x === null || x === undefined ? "n/a" : fmt(100 * x, d || 0) + "%"; } + function ci(m, d) { return m ? fmt(m.mean, d) + " [" + fmt(m.lo, d) + ", " + fmt(m.hi, d) + "]" : "n/a"; } + function pending(text) { return h("p", { class: "hwl-pending", text: text || "Result pending." }); } + function scrollBox(child, label) { return h("div", { class: "hwl-scroll", tabindex: "0", role: "region", "aria-label": label }, [child]); } + function table(head, rows, caption) { + var t = h("table", { class: "hwl-table" }, [caption ? h("caption", { class: "hwl-sr", text: caption }) : null, + h("thead", {}, [h("tr", {}, head.map(function (x) { return h("th", { scope: "col", text: x }); }))])]); + var tb = h("tbody"); + rows.forEach(function (r) { tb.append(h("tr", {}, r.map(function (c) { return h("td", { text: c }); }))); }); + t.append(tb); + return scrollBox(t, (caption || "Table") + ", scrolls sideways on narrow screens"); + } + function levelLabel(q) { + var p = Math.round(q * 100); + var suf = p % 100 >= 11 && p % 100 <= 13 ? "th" : p % 10 === 1 ? "st" : p % 10 === 2 ? "nd" : p % 10 === 3 ? "rd" : "th"; + return p + suf; + } + function niceTicks(max, n) { + var raw = max / n, mag = Math.pow(10, Math.floor(Math.log10(raw))), step = mag; + [1, 2, 2.5, 5, 10].some(function (m) { step = m * mag; return step >= raw; }); + var out = []; + for (var v = 0; ; v += step) { + out.push(v); + if (v >= max - 1e-9) break; + } + return out; + } + function group(options, current, onPick, label) { + var box = h("div", { class: "hwl-tabs", role: "group", "aria-label": label }); + function paint(cur) { Array.prototype.forEach.call(box.children, function (b) { b.setAttribute("aria-pressed", String(b.dataset.k === cur)); }); } + options.forEach(function (o) { + box.append(on(h("button", { type: "button", class: "hwl-btn", "data-k": o[0], text: o[1] }), "click", function () { paint(o[0]); onPick(o[0]); })); + }); + paint(current); + return box; + } + function field(label, control, help) { + var id = "hwl-" + (++uid); + control.setAttribute("id", id); + return h("div", { class: "hwl-field" }, [h("label", { class: "hwl-label", for: id, text: label }), control, help ? h("span", { class: "hwl-help", text: help }) : null]); + } + var KIND = { public: "public data", measured: "measured on my laptop", simulated: "simulated" }; + function kindLabel(k) { return /simulated/.test(k) ? "simulated plant, public weather and prices" : KIND[k] || k; } + + /* ---------------- pack jobs under a cap ---------------- */ + function packingPane(P, reduced) { + if (!P || P.status !== "ready") return { el: pending("The packing result is not in yet."), stop: function () {} }; + var levels = P.quantile_levels, penalties = P.penalties_usd_per_kwh, tr = P.trace; + var nT = tr.runs.reactive.site_power_kw.length; + var perHour = Math.round(3600 / tr.bin_s); + var hours = nT * tr.bin_s / 3600; + var state = { i: levels.indexOf(0.9) >= 0 ? levels.indexOf(0.9) : levels.length - 3, pen: penalties.indexOf(40) >= 0 ? 40 : penalties[0], t: 0, timer: null }; + function key(q) { return "timestral-5M/q" + String(q); } + + var tMin = Infinity, tMax = -Infinity, pMax = Math.max.apply(null, tr.site_caps_kw); + Object.keys(tr.runs).forEach(function (k) { + tr.runs[k].rack_max_gpu_c.forEach(function (row) { row.forEach(function (v) { if (v !== null) { tMin = Math.min(tMin, v); tMax = Math.max(tMax, v); } }); }); + tr.runs[k].site_power_kw.forEach(function (row) { row.forEach(function (v) { pMax = Math.max(pMax, v); }); }); + }); + var ticks = niceTicks(pMax * 1.04, 4); + var yTop = ticks[ticks.length - 1]; + + var label = h("label", { class: "hwl-label" }); + var slider = h("input", { type: "range", min: "0", max: String(levels.length - 1), step: "1", value: String(state.i), class: "hwl-range" }); + var penSel = h("select", {}, penalties.map(function (p) { return h("option", { value: String(p), text: "$" + p + " per kWh" }); })); + penSel.value = String(state.pen); + var scrub = h("input", { type: "range", min: "0", max: String(nT - 1), step: "1", value: "0", class: "hwl-range" }); + var play = h("button", { type: "button", class: "hwl-btn", text: reduced ? "Next hour" : "Play" }); + + var W = 640, H = 240, L = 50, R = 10, T = 12, B = 44; + var svg = s("svg", { viewBox: "0 0 " + W + " " + H, class: "hwl-chart", role: "img", + "aria-label": "Simulated site power over the scored window against each site's power cap. Planning lower in the forecast keeps more jobs in and crosses the cap more often." }); + function x(i) { return L + (W - L - R) * i / (nT - 1); } + function y(v) { return T + (H - T - B) * (1 - v / yTop); } + ticks.forEach(function (v) { + svg.append(s("line", { x1: L, x2: W - R, y1: y(v), y2: y(v), class: "hwl-grid" })); + txt(svg, L - 6, y(v) + 4, "hwl-axis", fmt(v), "end"); + }); + txt(svg, 4, 11, "hwl-axis", "kW"); + for (var hr = 0; hr <= hours; hr += 4) txt(svg, x(Math.min(nT - 1, hr * perHour)), H - B + 16, "hwl-axis", String(hr), "middle"); + txt(svg, W - R, H - 4, "hwl-axis", "hours into the scored window", "end"); + var over = s("g", { class: "hwl-over" }); + svg.append(over); + tr.site_caps_kw.forEach(function (c, k) { + svg.append(s("line", { x1: L, x2: W - R, y1: y(c), y2: y(c), class: "hwl-cap hwl-s" + k })); + txt(svg, L + 4, y(c) - 4, "hwl-axis hwl-cap-t", tr.site_ids[k] + " cap"); + }); + var lines = tr.site_ids.map(function (sid, k) { var p = s("polyline", { class: "hwl-line hwl-s" + k, fill: "none" }); svg.append(p); return p; }); + var cursor = s("line", { y1: T, y2: H - B, class: "hwl-cursor" }); + svg.append(cursor); + + var legend = h("p", { class: "hwl-legend" }, tr.site_ids.map(function (sid, k) { + return h("span", {}, [h("i", { class: "hwl-key hwl-s" + k }), sid + ", cap " + fmt(tr.site_caps_kw[k], 1) + " kW"]); + }).concat([h("span", {}, [h("i", { class: "hwl-key hwl-key-over" }), "power above the cap"])])); + + var cells = tr.rack_ids.map(function (rid) { + var tmp = h("span", { class: "hwl-rack-temp" }); + var cell = h("div", { class: "hwl-rack" }, [h("span", { class: "hwl-rack-id", text: rid }), tmp]); + return { cell: cell, tmp: tmp }; + }); + var racks = h("div", { class: "hwl-racks", role: "group", "aria-label": "Racks at the moment shown by the time slider, colored by their hottest GPU" }, cells.map(function (c) { return c.cell; })); + var scale = h("p", { class: "hwl-scale" }, [h("span", { text: fmt(tMin, 0) + " °C" }), h("i", { class: "hwl-ramp", "aria-hidden": "true" }), h("span", { text: fmt(tMax, 0) + " °C" }), + h("span", { class: "hwl-help", text: "Each box is a rack, colored by its hottest GPU, from pale and cool to red and hot." })]); + var counters = h("div"); + var best = h("p", { class: "hwl-note" }); + var clock = h("span", { class: "hwl-help" }); + + function heat(v) { + if (v === null || v === undefined) return "var(--chrome-well)"; + var f = Math.max(0, Math.min(1, (v - tMin) / Math.max(1e-6, tMax - tMin))); + return "oklch(" + (0.86 - 0.28 * f).toFixed(3) + " " + (0.04 + 0.16 * f).toFixed(3) + " " + (95 - 70 * f).toFixed(1) + ")"; + } + function bestName(k) { + var m = /^timestral-(\w+)\/q(.+)$/.exec(k || ""); + return m ? "Timestral " + m[1] + " planning at the " + levelLabel(Number(m[2])) + " percentile" : "n/a"; + } + function draw() { + var q = levels[state.i]; + label.textContent = "Plan around the " + levelLabel(q) + " percentile of the power forecast"; + slider.setAttribute("aria-valuetext", levelLabel(q) + " percentile"); + var run = tr.runs[key(q)]; + over.replaceChildren(); + lines.forEach(function (ln, k) { + ln.setAttribute("points", run.site_power_kw.map(function (row, i) { return x(i).toFixed(1) + "," + y(row[k]).toFixed(1); }).join(" ")); + var cap = tr.site_caps_kw[k], bw = (W - L - R) / (nT - 1); + run.site_power_kw.forEach(function (row, i) { + if (row[k] > cap) over.append(s("rect", { x: (x(i) - bw / 2).toFixed(1), width: bw.toFixed(1), y: y(row[k]).toFixed(1), height: (y(cap) - y(row[k])).toFixed(1), class: "hwl-over-bar" })); + }); + }); + cursor.setAttribute("x1", x(state.t)); cursor.setAttribute("x2", x(state.t)); + scrub.value = String(state.t); + var hh = state.t * tr.bin_s / 3600; + clock.textContent = "hour " + fmt(hh, 1) + " of " + fmt(hours); + scrub.setAttribute("aria-valuetext", "hour " + fmt(hh, 1) + " of " + fmt(hours)); + cells.forEach(function (rc, k) { + var v = run.rack_max_gpu_c[state.t][k]; + rc.cell.style.background = heat(v); + rc.tmp.textContent = v === null || v === undefined ? "idle" : fmt(v, 1) + " °C"; + }); + var pen = String(state.pen); + var rows = [["Plan at the " + levelLabel(q) + " percentile", P.policies[key(q)]], ["React to measured power", P.policies.reactive], + ["Learned quantile choice", P.policies["timestral-5M/learned@" + pen]]]; + counters.replaceChildren(table(["policy", "GPU-hours delivered", "energy over the cap (kWh)", "intervals over the cap", "net value at $" + pen + " per kWh ($)"], + rows.map(function (r) { + var m = r[1]; + return [r[0], m ? ci(m.gpu_hours, 0) : "n/a", m ? ci(m.energy_above_cap_kwh, 1) : "n/a", m ? pct(m.violation_rate.mean) : "n/a", + m && m.net_value_usd && m.net_value_usd[pen] ? ci(m.net_value_usd[pen], 0) : "n/a"]; + }), "Counters for the chosen plan, reacting, and the learned choice: mean and 95% interval over " + P.test_seeds.length + " test episodes")); + best.textContent = "At $" + pen + " per kWh over the cap, the fixed choice with the most net value on the test episodes was " + bestName(P.best_fixed_by_penalty[pen]) + "."; + } + function stop() { + if (state.timer) root.clearInterval(state.timer); + state.timer = null; + if (!reduced) play.textContent = "Play"; + } + on(play, "click", function () { + if (reduced) { state.t = Math.min(nT - 1, state.t + perHour); if (state.t >= nT - 1) state.t = 0; draw(); return; } + if (state.timer) { stop(); return; } + play.textContent = "Pause"; + state.timer = root.setInterval(function () { state.t = (state.t + 1) % nT; draw(); }, 100); + }); + on(slider, "input", function () { state.i = Number(slider.value); draw(); }); + on(scrub, "input", function () { state.t = Number(scrub.value); draw(); }); + on(penSel, "change", function () { state.pen = Number(penSel.value); draw(); }); + draw(); + var sid = "hwl-" + (++uid); + slider.setAttribute("id", sid); + label.setAttribute("for", sid); + var el = h("div", { class: "hwl-pane" }, [ + h("p", { class: "hwl-caption", text: "Simulated, not measured. Two sites in a test episode (seed " + tr.seed + ") replayed below. The table gives means and 95% intervals over " + + P.test_seeds.length + " test episodes. Plan lower in the forecast and more jobs get in, and the sites cross the cap more often." }), + h("div", { class: "hwl-controls" }, [h("div", { class: "hwl-field hwl-wide" }, [label, slider]), h("span", { class: "hwl-help hwl-wide", text: "1st to 99th percentile in 21 steps. Low plans for a quiet moment, high plans for the worst one." }), + field("Price of each kWh over the cap", penSel), field("Time in the episode", scrub), h("div", { class: "hwl-field" }, [play, clock])]), + scrollBox(svg, "Power chart, scrolls sideways on narrow screens"), legend, racks, scale, counters, best]); + return { el: el, stop: stop }; + } + + /* ---------------- outages ---------------- */ + function outagePane(O) { + if (!O || O.status !== "ready") return { el: pending(), stop: function () {} }; + var v3 = O.versions.v3, v2 = O.versions.v2, v1 = O.versions.v1; + function policyTable(V, withPaired, cap) { + return table(["policy", "useful GPU-hours", "GPU-hours lost to faults"].concat(withPaired ? ["lost, minus reactive"] : []).concat(["events warned in time", "false alarms per day"]), + Object.keys(V.policies).map(function (k) { + var p = V.policies[k]; + return [p.label, fmt(p.useful_gpu_h, 0), fmt(p.lost_gpu_h, 1)].concat(withPaired ? [p.lost_gpu_h_vs_reactive ? ci(p.lost_gpu_h_vs_reactive, 1) : "n/a"] : []) + .concat([p.recall_in_time === null ? "n/a" : pct(p.recall_in_time), p.false_alarms_per_day === null ? "n/a" : fmt(p.false_alarms_per_day, 1)]); + }), cap); + } + var box = h("div", { class: "hwl-pane" }); + if (v3 && v3.status === "ready") { + box.append(h("h3", { class: "hwl-h", text: "Redesigned response: the action depends on the kind of trouble" }), + h("p", { class: "hwl-caption", text: "Simulated, not measured. Chosen on training episodes only: move the work away from cooling and thermal trouble, checkpoint ahead of hardware and power faults, do nothing ahead of grid curtailment. Same " + v3.n_test_seeds + " held-out episodes as below; the paired columns give a 95% interval against reacting." }), + table(["policy", "useful GPU-hours", "useful, minus reactive", "GPU-hours lost to faults", "lost, minus reactive", "false alarms per day"], + Object.keys(v3.policies).map(function (k) { + var p = v3.policies[k]; + return [p.label, fmt(p.useful_gpu_h, 0), p.useful_gpu_h_vs_reactive ? ci(p.useful_gpu_h_vs_reactive, 1) : "n/a", fmt(p.lost_gpu_h, 1), + p.lost_gpu_h_vs_reactive ? ci(p.lost_gpu_h_vs_reactive, 1) : "n/a", p.false_alarms_per_day === null ? "n/a" : fmt(p.false_alarms_per_day, 1)]; + }), "Outage response, third version: means over held-out episodes")); + } + if (!v2 || v2.status !== "ready") { + box.append(h("p", { class: "hwl-caption", text: "Simulated. Warn before trouble, checkpoint early, then move or pause the work." }), h("h3", { class: "hwl-h", text: "With each GPU's own temperature as a warning sign" }), pending()); + } else { + var ev = v2.events; + box.append(h("p", { class: "hwl-caption", text: "Simulated, not measured. " + v2.n_test_seeds + " held-out episodes of " + fmt(v2.episode_hours) + " hours, " + v2.events_total + " events in them: " + + Object.keys(ev).map(function (k) { return ev[k].n + " " + k + "s"; }).join(", ") + ". Of the " + v2.events_scheduled + " scheduled ones, " + v2.events_with_precursor + + " showed a warning sign in the data first and " + (v2.events_scheduled - v2.events_with_precursor) + " showed nothing. A warning means: save a checkpoint early, then move the work to the other site or pause it. Means over the episodes; the paired column gives a 95% interval." })); + box.append(h("h3", { class: "hwl-h", text: "Second version: each GPU's own temperature as a warning sign, response not yet redesigned" }), policyTable(v2, true, "Outage response, second version: means over held-out episodes")); + var bt = v2.by_event_type; + if (bt && bt.ts28m) { + box.append(h("h3", { class: "hwl-h", text: "What the Timestral 28M warnings caught, by kind of event" }), + table(["event", "count", "with a warning sign", "warned in time", "median warning (min)", "GPU-hours lost, reactive", "GPU-hours lost, Timestral 28M"], + Object.keys(bt.ts28m).map(function (k) { + var a = bt.ts28m[k], b = bt.reactive ? bt.reactive[k] : null; + return [k, a.n_events, a.n_with_precursor, a.warned_in_time === null ? "n/a" : pct(a.warned_in_time), a.median_lead_min === null ? "n/a" : fmt(a.median_lead_min, 0), + b ? fmt(b.lost_gpu_h, 1) : "n/a", fmt(a.lost_gpu_h, 1)]; + }), "Events by kind: how many, how many warned in time, and GPU-hours lost")); + } + } + if (v1 && v1.status === "ready") { + box.append(h("details", { class: "hwl-details" }, [h("summary", { text: "First version: rack-level warning signs only" }), policyTable(v1, true, "Outage response, first version")])); + } + return { el: box, stop: function () {} }; + } + + /* ---------------- cheaper, cleaner hours ---------------- */ + var PC = { reactive: 0, seasonal_naive_24: 1, ets_24: 2, arima_seasonal: 3, timestral_28M: 5, perfect: 6, offline_optimum: 7 }; + var NAMES = { no_shift: "no shifting", reactive: "react to today's price", seasonal_naive_24: "yesterday's prices", ets_24: "ETS", arima_seasonal: "ARIMA", + timestral_28M: "Timestral 28M", perfect: "perfect foresight", offline_optimum: "best possible schedule" }; + function timingPane(C) { + if (!C || C.status !== "ready") return { el: pending(), stop: function () {} }; + var st = { pair: "caiso", lam: 5 }; + var holder = h("div"); + var lamOut = h("span", { class: "hwl-help" }); + var lam = h("input", { type: "range", min: "0", max: "10", step: "1", value: String(st.lam), class: "hwl-range" }); + function render() { + var P = C.pairs[st.pair], pols = Object.keys(P.curves).filter(function (k) { return k !== "no_shift"; }); + var xs = [], ys = []; + pols.forEach(function (k) { xs = xs.concat(P.curves[k].saving_pct_electricity); ys = ys.concat(P.curves[k].saving_pct_co2); }); + var xt = niceTicks(Math.max.apply(null, xs) * 1.05, 4), yt = niceTicks(Math.max.apply(null, ys) * 1.05, 4); + var x1 = xt[xt.length - 1], y1 = yt[yt.length - 1]; + var W = 640, H = 300, L = 54, R = 14, T = 14, B = 44; + function X(v) { return L + (W - L - R) * v / x1; } + function Y(v) { return T + (H - T - B) * (1 - v / y1); } + var svg = s("svg", { viewBox: "0 0 " + W + " " + H, class: "hwl-chart", role: "img", + "aria-label": "Saving in electricity cost against saving in carbon for each scheduling policy; higher and further right is better. The table below gives the numbers." }); + xt.forEach(function (v) { svg.append(s("line", { x1: X(v), x2: X(v), y1: T, y2: H - B, class: "hwl-grid" })); txt(svg, X(v), H - B + 16, "hwl-axis", fmt(v), "middle"); }); + yt.forEach(function (v) { svg.append(s("line", { x1: L, x2: W - R, y1: Y(v), y2: Y(v), class: "hwl-grid" })); txt(svg, L - 6, Y(v) + 4, "hwl-axis", fmt(v), "end"); }); + txt(svg, W - R, H - 4, "hwl-axis", "saving in electricity cost of the flexible work (%)", "end"); + txt(svg, 4, 11, "hwl-axis", "saving in carbon (%)"); + pols.forEach(function (k) { + var c = P.curves[k]; + svg.append(s("polyline", { class: "hwl-pareto hwl-p" + PC[k], fill: "none", + points: c.saving_pct_electricity.map(function (v, i) { return X(v).toFixed(1) + "," + Y(c.saving_pct_co2[i]).toFixed(1); }).join(" ") })); + svg.append(s("circle", { class: "hwl-dot hwl-p" + PC[k] + "-f", r: 5, cx: X(c.saving_pct_electricity[st.lam]).toFixed(1), cy: Y(c.saving_pct_co2[st.lam]).toFixed(1) })); + }); + var swing = P.curves.timestral_28M.lambda[st.lam]; + lamOut.textContent = "Weight on carbon: " + fmt(swing, 1) + " (0 chases price only, 1 chases carbon only)"; + lam.setAttribute("aria-valuetext", "weight on carbon " + fmt(swing, 1)); + var key = h("p", { class: "hwl-legend" }, pols.map(function (k) { return h("span", {}, [h("i", { class: "hwl-key hwl-k" + PC[k] }), NAMES[k] || k]); })); + var tb = table(["policy", "electricity saved (%)", "carbon saved (%)", "whole cost per token saved (%)"], + pols.map(function (k) { var c = P.curves[k]; return [NAMES[k] || k, fmt(c.saving_pct_electricity[st.lam], 1), fmt(c.saving_pct_co2[st.lam], 1), fmt(c.saving_pct_total[st.lam], 2)]; }), + "Savings against no shifting, at the chosen weight on carbon"); + var note = st.pair === "de" ? "Germany's carbon figure is a lifecycle estimate built from published medians, not an official number. " : "California's carbon figure is the in-state intensity, with imports left out. "; + holder.replaceChildren(scrollBox(svg, "Savings chart, scrolls sideways on narrow screens"), key, tb, h("p", { class: "hwl-note", text: note + "The whole cost per token moves little because hardware is most of it." })); + } + var region = group([["caiso", "California (CAISO)"], ["de", "Germany (DE-LU)"]], st.pair, function (k) { st.pair = k; render(); }, "Grid region"); + on(lam, "input", function () { st.lam = Number(lam.value); render(); }); + render(); + return { stop: function () {}, el: h("div", { class: "hwl-pane" }, [ + h("p", { class: "hwl-caption", text: "Real day-ahead prices and carbon from the last " + C.test_weeks + " weeks, held out; the workload is modeled, not measured. " + pct(C.setting.flexible_fraction) + " of the work may wait up to " + C.setting.window_hours + " hours. Each line sweeps the weight on carbon from 0 to 1; the dots show the weight you pick." }), + region, h("div", { class: "hwl-controls" }, [field("Weight on carbon", lam), lamOut]), holder]) }; + } + + /* ---------------- known inputs ---------------- */ + function inputsPane(A, S, F) { + var st = { size: "timestral-209M" }; + var holder = h("div"); + function oneTable(name, D, size) { + var cfgs = D.methods[size]; + if (!cfgs) return null; + var rows = Object.keys(cfgs).map(function (c) { + var x = cfgs[c]; + var lab = x.groups.length ? x.groups.map(function (g) { return D.groups[g] || g; }).join(" + ") : "no inputs"; + var read = x.vs_none === "baseline" ? "baseline" : x.vs_none === "lower" ? "lower" : x.vs_none === "higher" ? "higher" : "no clear change"; + return [lab, fmt(x.wql, 4), "[" + fmt(x.lo, 4) + ", " + fmt(x.hi, 4) + "]", x.change_pct === null ? "" : (x.change_pct > 0 ? "+" : "") + fmt(x.change_pct, 1) + "%" + (x.d_lo === undefined ? "" : " [" + fmt(x.d_lo, 4) + ", " + fmt(x.d_hi, 4) + "]"), read]; + }); + Object.keys(D.methods).filter(function (m) { return m.indexOf("timestral") !== 0; }).forEach(function (m) { + var x = D.methods[m].none; + rows.push([m.replace(/-\d+$/, "").replace("-", " ") + " (no inputs)", fmt(x.wql, 4), "[" + fmt(x.lo, 4) + ", " + fmt(x.hi, 4) + "]", "", "reference"]); + }); + return h("div", {}, [h("h3", { class: "hwl-h", text: D.what }), + h("p", { class: "hwl-help", text: kindLabel(D.data_kind) + ". " + fmt(D.n_origins) + " forecast windows, " + D.horizon_steps + " steps of " + D.step + " ahead." }), + table(["inputs known ahead", "loss", "95% interval", "change [paired difference interval]", "reading"], rows, D.what + ": loss with and without known-ahead inputs")]); + } + function render() { + holder.replaceChildren(); + Object.keys(A.datasets).forEach(function (n) { var t = oneTable(n, A.datasets[n], st.size); if (t) holder.append(t); }); + holder.append(h("h3", { class: "hwl-h hwl-h-big", text: "Simulated cluster: job schedule, training-step phase, weather forecast, price and carbon forecast" })); + if (!S || S.status !== "ready") holder.append(pending("Result pending: the simulated version of this test is still running.")); + else Object.keys(S.datasets).forEach(function (n) { var t = oneTable(n, S.datasets[n], st.size); if (t) holder.append(t); }); + var runs = F && F.status === "ready" ? F.runs : null; + holder.append(h("h3", { class: "hwl-h hwl-h-big", text: "Fine-tuned against zero-shot" })); + if (!runs) holder.append(pending("Result pending: the fine-tuning runs are not in yet.")); + else { + holder.append(h("p", { class: "hwl-help", text: "Loss on held-out windows. For each side I take its better setting, with or without the known-ahead inputs, and divide: below 1 means fine-tuning lowered the loss. The differences are paired over the same windows, with 95% intervals." })); + var d = function (x) { return x ? (x.mean > 0 ? "+" : "") + fmt(x.mean, 4) + " [" + fmt(x.lo, 4) + ", " + fmt(x.hi, 4) + "]" : ""; }; + runs.forEach(function (r) { + var rows = []; + r.series.forEach(function (sr) { + r.models.forEach(function (m) { + var z = sr.best.zero_shot, f = sr.best[m], pv = sr.paired_vs_zero_shot[m] || {}; + if (!z || !f) return; + rows.push([sr.what + (r.models.length > 1 ? " (" + m.replace(/^finetuned-/, "") + ")" : ""), kindLabel(sr.data_kind), fmt(z.wql, 4), fmt(f.wql, 4), fmt(f.wql / z.wql, 3), d(pv.none), d(pv.cov_all)]); + }); + }); + var cap = "Timestral " + r.size + (r.run_label === "colab-cpu" ? ", CPU pilot (" + r.models.map(function (m) { return m.replace(/^finetuned-/, ""); }).join(", ") + ")" : ", all weights trained on one GPU"); + holder.append(h("h3", { class: "hwl-h", text: cap }), table(["series", "data", "zero-shot", "fine-tuned", "ratio", "difference, no inputs", "difference, with inputs"], rows, cap + ": fine-tuned against zero-shot")); + }); + } + } + var el = h("div", { class: "hwl-pane" }, []); + if (!A || A.status !== "ready") { el.append(pending("The known-inputs result is not in yet.")); return { el: el, stop: function () {} }; } + el.append(h("p", { class: "hwl-caption", text: "What does a forecaster gain from things that are known ahead of time, like a job schedule, a weather forecast or a day-ahead price? Loss is the weighted quantile loss over all horizons, lower is better. Series are measured (my laptop) or public (grid). Intervals are 95% block-bootstrap intervals. The reading comes from the paired difference over the same windows: I call a change real only when its interval is clear of zero. GB carbon uses an archived forecast whose issue time is undocumented." }), + group([["timestral-209M", "Timestral 209M"], ["timestral-28M", "Timestral 28M"]], st.size, function (k) { st.size = k; render(); }, "Model size"), holder); + render(); + return { el: el, stop: function () {} }; + } + + function mount(el) { + el.replaceChildren(h("p", { class: "hwl-pending", text: "Loading the Heatwave results." })); + var reduced = !!(root.matchMedia && root.matchMedia("(prefers-reduced-motion: reduce)").matches); + root.fetch(DATA_URL).then(function (r) { if (!r.ok) throw new Error(String(r.status)); return r.json(); }).then(function (D) { + var panes = { packing: packingPane(D.packing, reduced), outage: outagePane(D.outage), timing: timingPane(D.cost), inputs: inputsPane(D.ablation, D.ablation_sim, D.finetune) }; + var names = { packing: "Pack jobs under a cap", outage: "Outages", timing: "Cheaper, cleaner hours", inputs: "Known inputs" }; + var order = Object.keys(panes), btns = {}; + var tabs = h("div", { class: "hwl-tabs", role: "tablist", "aria-label": "Heatwave experiments" }); + var panel = h("div", { class: "hwl-body", role: "tabpanel", tabindex: "0" }); + function show(k, focus) { + order.forEach(function (o) { panes[o].stop(); var on_ = o === k; btns[o].setAttribute("aria-selected", String(on_)); btns[o].setAttribute("tabindex", on_ ? "0" : "-1"); }); + panel.replaceChildren(panes[k].el); + panel.setAttribute("aria-labelledby", btns[k].id); + if (focus) btns[k].focus(); + } + order.forEach(function (k, i) { + var b = h("button", { type: "button", role: "tab", class: "hwl-btn", id: "hwl-tab-" + k, text: names[k], "aria-controls": "hwl-panel" }); + on(b, "click", function () { show(k, false); }); + on(b, "keydown", function (e) { + var j = e.key === "ArrowRight" ? i + 1 : e.key === "ArrowLeft" ? i - 1 : e.key === "Home" ? 0 : e.key === "End" ? order.length - 1 : null; + if (j === null) return; + e.preventDefault(); + show(order[(j + order.length) % order.length], true); + }); + btns[k] = b; + tabs.append(b); + }); + panel.setAttribute("id", "hwl-panel"); + el.replaceChildren(h("div", { class: "hwl" }, [tabs, panel])); + show("packing", false); + }).catch(function () { + el.replaceChildren(h("p", { class: "hwl-pending", text: "The Heatwave data file could not be fetched." })); + }); + } + + root.GPUStackHeatwave = { mount: mount }; +})(typeof window !== "undefined" ? window : globalThis); diff --git a/docs/index.html b/docs/index.html index 86baf07..947dbad 100644 --- a/docs/index.html +++ b/docs/index.html @@ -28,7 +28,9 @@ + + @@ -38,6 +40,8 @@ + + @@ -46,6 +50,7 @@ @@ -59,6 +64,10 @@ Calculator + + + Heatwave + Lab @@ -115,7 +124,7 @@

What actually moves the bill?

Once everything was connected, most of the map turned out to collapse into one short line: the math per token, divided by how fast your GPUs really run, times what an hour of GPU costs you. The chip's speed on paper, the share of that speed you actually get, and the size of the model move the cost by the same amount, because each one shows up in that line exactly once. After those comes how long you keep the hardware before replacing it.

The share of speed you actually get is called MFU, and it's the one I underestimated. The spec sheet number is a ceiling. Meta reports about 40 percent for Llama 3, and that counts as good.

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Electricity was the surprise. For a 7 billion parameter model trained on 2 trillion tokens with 1,024 H100s, the power bill, cooling included (PUE), comes to about 6 percent of the cost. The rest is expensive hardware gradually becoming old hardware.

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Electricity was the surprise. For a 7 billion parameter model trained on 2 trillion tokens with 1,024 H100s, the power bill, cooling included (PUE), comes to about 7.4 percent of the cost. I first wrote 6 percent; checking every price against 2026 sources, using measured server power and counting the building separately moved it. At the industrial electricity prices of different places, with the calculator's other defaults (5.5-year server life, PUE 1.2), the same run goes from about 5 percent (New Mexico average) to about 16 percent (California average). The rest is expensive hardware gradually becoming old hardware.

Try your own numbers in the Calculator

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Can a training run survive flaky datacenters?

Open the Lab

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What is a forecast worth to a GPU cluster?

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A training run doesn't draw power like a kettle. Inside every step the GPUs compute, then wait on each other, then compute again, and every save is a dip. Over hours, jobs start and stop. The building heats up and the cooling answers late. The grid's price and carbon swing on their own schedule. I wanted to know what a forecast of all that is worth when you act on it, so I built a small project called Heatwave on top of this one.

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A quantile forecast doesn't give one number. It gives 21: the level the power stays under 1 percent of the time, 5 percent, 10 percent and so on up to 99. Plan on the 90th and you expect to be caught short one time in ten. My forecaster was Timestral, the open forecasting model Mistral released in October 2026, used as it comes with no training on my data. I scored it with a quantile loss, which charges a forecast for missing in the wrong direction at each level, so lower is better. On all eleven series I tried, from one-second GPU power to hourly grid prices, it scored lower than the textbook methods. On GPU power from H100 and B200 servers, sampled every second, its loss was 0.158 against 0.259 for the best textbook method.

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My laptop's GPU throttles itself: from about 84 degrees it slows its clock, from a median of 1,642 MHz to 900. In a test run, a 30-second temperature forecast from Timestral warned before 6 of the 7 slowdowns, 18.5 seconds ahead on median, where watching the thermometer gave 10.5 seconds. ETS, a plain textbook method, warned before the same 6, 16.5 seconds ahead. Thirty seconds isn't long enough for a big model to matter.

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The rest happened in a simulated two-site cluster with a power cap, the most power a site may draw. Its GPU power levels come from published H100 measurements. The jobs, the weather and the outages are simulated, so nothing from here down was measured on a real cluster. Letting jobs in whenever the meter shows room packs the most work, 1,841 GPU-hours on average over six held-out episodes of 16 hours, and spends 72 percent of the intervals over the cap. Planning on the forecast's 90th percentile packs about 17 percent less work and goes over the cap with about a sixth of the energy, 7.1 kWh against 42.5 kWh.

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Each dot is one percentile to plan on. Simulated cluster, not data from a real one.
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Which percentile is right depends on what going over the cap costs. A small learned rule that picks the percentile as it goes was worth $746 more per episode than reacting when each kilowatt-hour over the cap costs $40, and $5,575 more when it costs $160. At $10 the difference sat inside its interval. At $2.50 it was worth $295 less.

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Moving the flexible part of the work to cheaper, cleaner hours of real California prices cut its electricity bill by 8.6 percent and its carbon by 10.8 percent, close to the 9.0 percent perfect foresight gets. In this test 30 percent of the work could wait up to a day. Copying yesterday's prices got 8.3 percent, so the daily price pattern does most of the work. The whole bill moved by 0.22 percent, because hardware is most of it.

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Then I made things go wrong. In ten held-out simulated episodes the cluster had 90 events: hardware faults, cooling failures, breaker trips, grid curtailments and thermal throttling. The simulator scheduled 65 of them, and 24 showed a warning sign in the data first while 41 showed nothing, which no forecast can warn about. The response to a warning was to save a checkpoint early, then move the work to the other site or pause it. Reacting without a forecast lost 35.1 GPU-hours to faults per episode. Timestral warnings lost 26.8, warned in time for 29 percent of all events and gave 0.4 false alarms a day, and they caught 17 of the 24 that showed a sign. Counting the GPU-hours the response itself uses, the cluster ended with 1,727 useful GPU-hours against 1,722 for reacting, which is 4.9 GPU-hours more, with a 95 percent interval from -1.3 to 16.0. That difference is inside its interval. The first version of the warning used rack-level signs only and warned in time for 21 percent; the second adds each GPU's own temperature compared with its neighbors.

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So I changed the response instead of the forecast. On training episodes only, I picked an action for each kind of trouble: move the work away from cooling and thermal trouble, save a checkpoint ahead of hardware and power faults, and do nothing ahead of a grid curtailment. With perfect warnings the cluster had ended 11.5 short of the event-free run under the old response; under the new one it ends 0.9 GPU-hours above it, so the response is no longer what holds it back. Timestral warnings now lose 20.6 GPU-hours to faults, 14.4 fewer, with a 95 percent interval from 4.3 to 29.8, and end with 6.2 GPU-hours more, with a 95 percent interval from -0.6 to 18.7, so the useful-work gain is still inside its interval; perfect foresight gets 11.6 more (interval 0.8 to 27.9). Seasonal naive and ARIMA warnings do about as well on useful work but raise 5.4 to 6.0 false alarms a day, against 0.4 false alarms for Timestral.

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One more question: what does a forecaster gain from things that are known ahead of time? A job schedule, a weather forecast and a day-ahead price are all published before the hour they describe, so Timestral can take them as extra inputs next to the history. In California the day-ahead price helped predict the real-time price: loss 0.189 without it and 0.169 with it. Compared window by window, the difference is -0.020, with a 95 percent interval from -0.025 to -0.016. A weather forecast alone did nothing I can measure (0.188). On my laptop the load schedule cut the loss on one-second power from 0.096 to 0.045. The same schedule at ten readings a second made the biggest model worse, 0.107 to 0.250 over 2,337 windows. In Great Britain an archived carbon forecast cut the carbon loss from 0.145 to 0.041, but nobody wrote down when that forecast was issued, so I don't trust that one yet.

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One marker per input. Left of the dashed line means a lower loss than the same model with no inputs.
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I also fine-tuned Timestral on this kind of data: the simulated cluster, the public power series, the grid series and my laptop's first run. Then I scored it on data it never saw, taking the better of with and without the known-ahead inputs on each side. The big gains came with those inputs. On my laptop's power with its training schedule as input, the biggest model's loss after fine-tuning was 0.45 times its best loss as it comes, and on the simulated racks' power 0.80 times. Part of that is repair: as it comes, the biggest model got worse when given the racks' inputs, from 0.022 to 0.045. On the public series, with no inputs, fine-tuning trimmed a few percent, and on the H100 and B200 power it made the biggest model worse, 0.148 to 0.155.

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The same test on the simulated cluster tells two stories. The job schedule helps wherever the cluster's own plan drives the series: on per-minute site power it takes the loss from 0.051 to 0.039. On one-second rack power every input made things worse. The schedule took the loss from 0.017 to 0.055, and the hourly price and carbon forecast took it to 1.012. Nearly all of that damage comes from windows where the price sat flat for the whole history and then stepped to a new value right at the moment of the forecast. The model sees a jump it has no evidence about and follows it, even though price does nothing to rack power in this simulator.

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Open the Heatwave window

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How did I build it?

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How did I build it?

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